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3128315940 = 2232534994967
BaseRepresentation
bin1011101001110110…
…0101000000100100
322002000110220201100
42322131211000210
522401322102230
61234230400100
7140344150431
oct27235450044
98060426640
103128315940
111365942082
12733800030
133ab160629
14219688b88
1513498d660
hexba765024

3128315940 has 72 divisors (see below), whose sum is σ = 9493848000. Its totient is φ = 833811264.

The previous prime is 3128315893. The next prime is 3128315959. The reversal of 3128315940 is 495138213.

3128315940 is a `hidden beast` number, since 31 + 2 + 8 + 31 + 594 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3128315895 and 3128315904.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 627337 + ... + 632303.

It is an arithmetic number, because the mean of its divisors is an integer number (131859000).

Almost surely, 23128315940 is an apocalyptic number.

3128315940 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3128315940 is an abundant number, since it is smaller than the sum of its proper divisors (6365532060).

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

3128315940 is a wasteful number, since it uses less digits than its factorization.

3128315940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8481 (or 8476 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 3128315940 is about 55931.3502429541. The cubic root of 3128315940 is about 1462.5257992381.

The spelling of 3128315940 in words is "three billion, one hundred twenty-eight million, three hundred fifteen thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 3499 4967 6998 9934 10497 13996 14901 17495 19868 20994 24835 29802 31491 34990 41988 44703 49670 52485 59604 62982 69980 74505 89406 99340 104970 125964 149010 157455 178812 209940 223515 298020 314910 447030 629820 894060 17379533 34759066 52138599 69518132 86897665 104277198 156415797 173795330 208554396 260692995 312831594 347590660 521385990 625663188 782078985 1042771980 1564157970 3128315940