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1976997240 = 233354342571
BaseRepresentation
bin111010111010110…
…1001010101111000
312002210001212101000
41311311221111320
513022102402430
6524101525000
766664125231
oct16565512570
95083055330
101976997240
11924a66319
12472113760
1325678226a
1414a7cc088
15b886be60
hex75d69578

1976997240 has 128 divisors (see below), whose sum is σ = 6743404800. Its totient is φ = 514926720.

The previous prime is 1976997221. The next prime is 1976997307. The reversal of 1976997240 is 427996791.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25155 + ... + 67725.

It is an arithmetic number, because the mean of its divisors is an integer number (52682850).

Almost surely, 21976997240 is an apocalyptic number.

1976997240 is a gapful number since it is divisible by the number (10) 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 1976997240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3371702400).

1976997240 is an abundant number, since it is smaller than the sum of its proper divisors (4766407560).

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

1976997240 is a wasteful number, since it uses less digits than its factorization.

1976997240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42634 (or 42624 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The square root of 1976997240 is about 44463.4371141053. The cubic root of 1976997240 is about 1255.0721354494.

The spelling of 1976997240 in words is "one billion, nine hundred seventy-six million, nine hundred ninety-seven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 43 45 54 60 72 86 90 108 120 129 135 172 180 215 216 258 270 344 360 387 430 516 540 645 774 860 1032 1080 1161 1290 1548 1720 1935 2322 2580 3096 3870 4644 5160 5805 7740 9288 11610 15480 23220 42571 46440 85142 127713 170284 212855 255426 340568 383139 425710 510852 638565 766278 851420 1021704 1149417 1277130 1532556 1702840 1830553 1915695 2298834 2554260 3065112 3661106 3831390 4597668 5108520 5491659 5747085 7322212 7662780 9152765 9195336 10983318 11494170 14644424 15325560 16474977 18305530 21966636 22988340 27458295 32949954 36611060 43933272 45976680 49424931 54916590 65899908 73222120 82374885 98849862 109833180 131799816 164749770 197699724 219666360 247124655 329499540 395399448 494249310 658999080 988498620 1976997240