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8140266640 = 24511131241293
BaseRepresentation
bin1111001010011001…
…01001110010010000
3210000022100101120001
413211030221302100
5113132402013030
63423430055344
7405503060542
oct74514516220
923008311501
108140266640
1134a7a718a0
1216b21aa554
139c961492c
1457317b692
153299a5cca
hex1e5329c90

8140266640 has 160 divisors (see below), whose sum is σ = 20961908352. Its totient is φ = 2915328000.

The previous prime is 8140266637. The next prime is 8140266643. The reversal of 8140266640 is 466620418.

It is an interprime number because it is at equal distance from previous prime (8140266637) and next prime (8140266643).

It is a self number, because there is not a number n which added to its sum of digits gives 8140266640.

It is not an unprimeable number, because it can be changed into a prime (8140266643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27782334 + ... + 27782626.

Almost surely, 28140266640 is an apocalyptic number.

8140266640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8140266640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10480954176).

8140266640 is an abundant number, since it is smaller than the sum of its proper divisors (12821641712).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8140266640 is a wasteful number, since it uses less digits than its factorization.

8140266640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 8140266640 is about 90223.4262262302. The cubic root of 8140266640 is about 2011.6212293903.

The spelling of 8140266640 in words is "eight billion, one hundred forty million, two hundred sixty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 131 176 220 241 262 293 440 482 524 586 655 880 964 1048 1172 1205 1310 1441 1465 1928 2096 2344 2410 2620 2651 2882 2930 3223 3856 4688 4820 5240 5302 5764 5860 6446 7205 9640 10480 10604 11528 11720 12892 13255 14410 16115 19280 21208 23056 23440 25784 26510 28820 31571 32230 38383 42416 51568 53020 57640 63142 64460 70613 76766 106040 115280 126284 128920 141226 153532 157855 191915 212080 252568 257840 282452 307064 315710 347281 353065 383830 422213 505136 564904 614128 631420 694562 706130 767660 776743 844426 1129808 1262840 1389124 1412260 1535320 1553486 1688852 1736405 2111065 2525680 2778248 2824520 3070640 3106972 3377704 3472810 3883715 4222130 5556496 5649040 6213944 6755408 6945620 7767430 8444260 9250303 12427888 13891240 15534860 16888520 18500606 27782480 31069720 33777040 37001212 46251515 62139440 74002424 92503030 101753333 148004848 185006060 203506666 370012120 407013332 508766665 740024240 814026664 1017533330 1628053328 2035066660 4070133320 8140266640