Search a number
-
+
70217616 = 24371719647
BaseRepresentation
bin1000010111101…
…10111110010000
311220010102110110
410023312332100
5120433430431
610545001320
71511561040
oct413667620
9156112413
1070217616
11366aa597
121b623240
13117168b1
14947b720
156270346
hex42f6f90

70217616 has 160 divisors (see below), whose sum is σ = 231413760. Its totient is φ = 17860608.

The previous prime is 70217549. The next prime is 70217617. The reversal of 70217616 is 61671207.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (70217617) 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, 108205 + ... + 108851.

It is an arithmetic number, because the mean of its divisors is an integer number (1446336).

Almost surely, 270217616 is an apocalyptic number.

70217616 is a gapful number since it is divisible by the number (76) 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 70217616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115706880).

70217616 is an abundant number, since it is smaller than the sum of its proper divisors (161196144).

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

70217616 is a wasteful number, since it uses less digits than its factorization.

70217616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 70217616 is about 8379.5952169541. The cubic root of 70217616 is about 412.5551632380. Note that the first 3 decimals are identical.

The spelling of 70217616 in words is "seventy million, two hundred seventeen thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 19 21 24 28 34 38 42 48 51 56 57 68 76 84 102 112 114 119 133 136 152 168 204 228 238 266 272 304 323 336 357 399 408 456 476 532 646 647 714 798 816 912 952 969 1064 1292 1294 1428 1596 1904 1938 1941 2128 2261 2584 2588 2856 3192 3876 3882 4522 4529 5168 5176 5712 6384 6783 7752 7764 9044 9058 10352 10999 12293 13566 13587 15504 15528 18088 18116 21998 24586 27132 27174 31056 32997 36176 36232 36879 43996 49172 54264 54348 65994 72464 73758 76993 86051 87992 98344 108528 108696 131988 147516 153986 172102 175984 196688 208981 217392 230979 258153 263976 295032 307972 344204 417962 461958 516306 527952 590064 615944 626943 688408 835924 923916 1032612 1231888 1253886 1376816 1462867 1671848 1847832 2065224 2507772 2925734 3343696 3695664 4130448 4388601 5015544 5851468 8777202 10031088 11702936 17554404 23405872 35108808 70217616