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95246970 = 235713139251
BaseRepresentation
bin1011010110101…
…01101001111010
320122020001021120
411223111221322
5143340400340
613241250110
72234404650
oct553255172
9218201246
1095246970
1149845505
1227a93936
131696b270
14c914dd0
1585664d0
hex5ad5a7a

95246970 has 128 divisors (see below), whose sum is σ = 284497920. Its totient is φ = 19872000.

The previous prime is 95246953. The next prime is 95247007. The reversal of 95246970 is 7964259.

It is a super-3 number, since 3×952469703 (a number of 25 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 379345 + ... + 379595.

It is an arithmetic number, because the mean of its divisors is an integer number (2222640).

Almost surely, 295246970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95246970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142248960).

95246970 is an abundant number, since it is smaller than the sum of its proper divisors (189250950).

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

95246970 is a wasteful number, since it uses less digits than its factorization.

95246970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420.

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 95246970 is about 9759.4554151346. The cubic root of 95246970 is about 456.6853249224.

The spelling of 95246970 in words is "ninety-five million, two hundred forty-six thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 139 182 195 210 251 273 278 390 417 455 502 546 695 753 834 910 973 1255 1365 1390 1506 1757 1807 1946 2085 2510 2730 2919 3263 3514 3614 3765 4170 4865 5271 5421 5838 6526 7530 8785 9035 9730 9789 10542 10842 12649 14595 16315 17570 18070 19578 22841 25298 26355 27105 29190 32630 34889 37947 45682 48945 52710 54210 63245 68523 69778 75894 97890 104667 114205 126490 137046 174445 189735 209334 228410 244223 342615 348890 379470 453557 488446 523335 685230 732669 907114 1046670 1221115 1360671 1465338 2267785 2442230 2721342 3174899 3663345 4535570 6349798 6803355 7326690 9524697 13606710 15874495 19049394 31748990 47623485 95246970