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69993660 = 223511231311
BaseRepresentation
bin1000010110000…
…00010010111100
311212201001020210
410023000102330
5120404244120
610540112420
71506636102
oct413002274
9155631223
1069993660
1136567300
121b535710
1311668989
14941dc72
156228ce0
hex42c04bc

69993660 has 144 divisors (see below), whose sum is σ = 223082496. Its totient is φ = 16368000.

The previous prime is 69993659. The next prime is 69993689. The reversal of 69993660 is 6639996.

It is a super-2 number, since 2×699936602 = 9798224880391200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 224905 + ... + 225215.

It is an arithmetic number, because the mean of its divisors is an integer number (1549184).

Almost surely, 269993660 is an apocalyptic number.

69993660 is a gapful number since it is divisible by the number (60) 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 69993660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111541248).

69993660 is an abundant number, since it is smaller than the sum of its proper divisors (153088836).

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

69993660 is a wasteful number, since it uses less digits than its factorization.

69993660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 472392, while the sum is 48.

The square root of 69993660 is about 8366.2213692921. The cubic root of 69993660 is about 412.1160872486.

It can be divided in two parts, 699936 and 60, that added together give a palindrome (699996).

The spelling of 69993660 in words is "sixty-nine million, nine hundred ninety-three thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 31 33 44 55 60 62 66 93 110 121 124 132 155 165 186 220 242 310 311 330 341 363 372 465 484 605 620 622 660 682 726 930 933 1023 1210 1244 1364 1452 1555 1705 1815 1860 1866 2046 2420 3110 3410 3421 3630 3732 3751 4092 4665 5115 6220 6820 6842 7260 7502 9330 9641 10230 10263 11253 13684 15004 17105 18660 18755 19282 20460 20526 22506 28923 34210 37510 37631 38564 41052 45012 48205 51315 56265 57846 68420 75020 75262 96410 102630 106051 112530 112893 115692 144615 150524 188155 192820 205260 212102 225060 225786 289230 318153 376310 424204 451572 530255 564465 578460 636306 752620 1060510 1128930 1166561 1272612 1590765 2121020 2257860 2333122 3181530 3499683 4666244 5832805 6363060 6999366 11665610 13998732 17498415 23331220 34996830 69993660