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95960520 = 23325436199
BaseRepresentation
bin1011011100000…
…11110111001000
320200120022002100
411232003313020
5144031214040
613304433400
72243436165
oct556036710
9220508070
1095960520
114a192617
1228178860
1316b5ac96
14ca5d06c
158657b30
hex5b83dc8

95960520 has 96 divisors (see below), whose sum is σ = 319176000. Its totient is φ = 24990336.

The previous prime is 95960519. The next prime is 95960521. The reversal of 95960520 is 2506959.

It is an interprime number because it is at equal distance from previous prime (95960519) and next prime (95960521).

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 (95960521) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12381 + ... + 18579.

It is an arithmetic number, because the mean of its divisors is an integer number (3324750).

Almost surely, 295960520 is an apocalyptic number.

95960520 is a gapful number since it is divisible by the number (90) 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 95960520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159588000).

95960520 is an abundant number, since it is smaller than the sum of its proper divisors (223215480).

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

95960520 is a wasteful number, since it uses less digits than its factorization.

95960520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6259 (or 6252 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 95960520 is about 9795.9440586398. The cubic root of 95960520 is about 457.8229199172.

The spelling of 95960520 in words is "ninety-five million, nine hundred sixty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 43 45 60 72 86 90 120 129 172 180 215 258 344 360 387 430 516 645 774 860 1032 1290 1548 1720 1935 2580 3096 3870 5160 6199 7740 12398 15480 18597 24796 30995 37194 49592 55791 61990 74388 92985 111582 123980 148776 185970 223164 247960 266557 278955 371940 446328 533114 557910 743880 799671 1066228 1115820 1332785 1599342 2132456 2231640 2399013 2665570 3198684 3998355 4798026 5331140 6397368 7996710 9596052 10662280 11995065 15993420 19192104 23990130 31986840 47980260 95960520