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70801992 = 23332989127
BaseRepresentation
bin1000011100001…
…01101001001000
311221020010002000
410032011221020
5121111130432
611005311000
71516543542
oct416055110
9157203060
1070801992
1136a69648
121b865460
131188c891
149590692
15633857c
hex4385a48

70801992 has 128 divisors (see below), whose sum is σ = 207360000. Its totient is φ = 22353408.

The previous prime is 70801921. The next prime is 70801993. The reversal of 70801992 is 29910807.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (70801993) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 557433 + ... + 557559.

It is an arithmetic number, because the mean of its divisors is an integer number (1620000).

Almost surely, 270801992 is an apocalyptic number.

70801992 is a gapful number since it is divisible by the number (72) 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 70801992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103680000).

70801992 is an abundant number, since it is smaller than the sum of its proper divisors (136558008).

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

70801992 is a wasteful number, since it uses less digits than its factorization.

70801992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 70801992 is about 8414.3919566419. The cubic root of 70801992 is about 413.6964799050.

The spelling of 70801992 in words is "seventy million, eight hundred one thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 87 89 108 116 127 174 178 216 232 254 261 267 348 356 381 508 522 534 696 712 762 783 801 1016 1044 1068 1143 1524 1566 1602 2088 2136 2286 2403 2581 3048 3132 3204 3429 3683 4572 4806 5162 6264 6408 6858 7366 7743 9144 9612 10324 11049 11303 13716 14732 15486 19224 20648 22098 22606 23229 27432 29464 30972 33147 33909 44196 45212 46458 61944 66294 67818 69687 88392 90424 92916 99441 101727 132588 135636 139374 185832 198882 203454 265176 271272 278748 305181 327787 397764 406908 557496 610362 655574 795528 813816 983361 1220724 1311148 1966722 2441448 2622296 2950083 3933444 5900166 7866888 8850249 11800332 17700498 23600664 35400996 70801992