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3916123980 = 2235233191541
BaseRepresentation
bin1110100101101011…
…0100111101001100
3101002220212201011220
43221122310331030
531010011431410
61444332043340
7166021335036
oct35132647514
911086781156
103916123980
11172a6059aa
12913603550
134a5435032
1429215cc56
1517dc08070
hexe96b4f4c

3916123980 has 96 divisors (see below), whose sum is σ = 11811115008. Its totient is φ = 966662400.

The previous prime is 3916123891. The next prime is 3916124033. The reversal of 3916123980 is 893216193.

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, 2991 + ... + 88550.

It is an arithmetic number, because the mean of its divisors is an integer number (123032448).

Almost surely, 23916123980 is an apocalyptic number.

3916123980 is a gapful number since it is divisible by the number (30) 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 3916123980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5905557504).

3916123980 is an abundant number, since it is smaller than the sum of its proper divisors (7894991028).

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

3916123980 is a wasteful number, since it uses less digits than its factorization.

3916123980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91607 (or 91605 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 3916123980 is about 62578.9419853037. The cubic root of 3916123980 is about 1576.2271756098.

The spelling of 3916123980 in words is "three billion, nine hundred sixteen million, one hundred twenty-three thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 31 46 60 62 69 92 93 115 124 138 155 186 230 276 310 345 372 460 465 620 690 713 930 1380 1426 1860 2139 2852 3565 4278 7130 8556 10695 14260 21390 42780 91541 183082 274623 366164 457705 549246 915410 1098492 1373115 1830820 2105443 2746230 2837771 4210886 5492460 5675542 6316329 8421772 8513313 10527215 11351084 12632658 14188855 17026626 21054430 25265316 28377710 31581645 34053252 42108860 42566565 56755420 63163290 65268733 85133130 126326580 130537466 170266260 195806199 261074932 326343665 391612398 652687330 783224796 979030995 1305374660 1958061990 3916123980