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1977209676 = 2234132916187
BaseRepresentation
bin111010111011001…
…1101001101001100
312002210110122210000
41311312131031030
513022131202201
6524110244300
766666001461
oct16566351514
95083418700
101977209676
119250a0992
124721b6690
13256827b70
1414a845668
15b88aed86
hex75d9d34c

1977209676 has 120 divisors (see below), whose sum is σ = 5758719120. Its totient is φ = 587357568.

The previous prime is 1977209659. The next prime is 1977209683. The reversal of 1977209676 is 6769027791.

It is a happy number.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 114055 + ... + 130241.

It is an arithmetic number, because the mean of its divisors is an integer number (47989326).

Almost surely, 21977209676 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1977209676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2879359560).

1977209676 is an abundant number, since it is smaller than the sum of its proper divisors (3781509444).

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

1977209676 is a wasteful number, since it uses less digits than its factorization.

1977209676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16245 (or 16234 counting only the distinct ones).

The product of its (nonzero) digits is 2000376, while the sum is 54.

The square root of 1977209676 is about 44465.8259340811. The cubic root of 1977209676 is about 1255.1170879577.

The spelling of 1977209676 in words is "one billion, nine hundred seventy-seven million, two hundred nine thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 29 36 39 52 54 58 78 81 87 108 116 117 156 162 174 234 261 324 348 351 377 468 522 702 754 783 1044 1053 1131 1404 1508 1566 2106 2262 2349 3132 3393 4212 4524 4698 6786 9396 10179 13572 16187 20358 30537 32374 40716 48561 61074 64748 97122 122148 145683 194244 210431 291366 420862 437049 469423 582732 631293 841724 874098 938846 1262586 1311147 1408269 1748196 1877692 1893879 2525172 2622294 2816538 3787758 4224807 5244588 5633076 5681637 6102499 7575516 8449614 11363274 12204998 12674421 16899228 17044911 18307497 22726548 24409996 25348842 34089822 36614994 38023263 50697684 54922491 68179644 73229988 76046526 109844982 152093052 164767473 219689964 329534946 494302419 659069892 988604838 1977209676