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96674580 = 223351710531
BaseRepresentation
bin1011100001100…
…10001100010100
320201220120121000
411300302030110
5144222041310
613332023300
72252502042
oct560621424
9221816530
1096674580
114a630052
1228461b30
131704acc2
14cba7392
1587494c0
hex5c32314

96674580 has 96 divisors (see below), whose sum is σ = 318487680. Its totient is φ = 24261120.

The previous prime is 96674573. The next prime is 96674581. The reversal of 96674580 is 8547669.

96674580 is a `hidden beast` number, since 9 + 6 + 67 + 4 + 580 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96674581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3915 + ... + 14445.

It is an arithmetic number, because the mean of its divisors is an integer number (3317580).

Almost surely, 296674580 is an apocalyptic number.

96674580 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 96674580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159243840).

96674580 is an abundant number, since it is smaller than the sum of its proper divisors (221813100).

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

96674580 is a wasteful number, since it uses less digits than its factorization.

96674580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10566 (or 10558 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 96674580 is about 9832.3232249555. The cubic root of 96674580 is about 458.9556965227.

The spelling of 96674580 in words is "ninety-six million, six hundred seventy-four thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 85 90 102 108 135 153 170 180 204 255 270 306 340 459 510 540 612 765 918 1020 1530 1836 2295 3060 4590 9180 10531 21062 31593 42124 52655 63186 94779 105310 126372 157965 179027 189558 210620 284337 315930 358054 379116 473895 537081 568674 631860 716108 895135 947790 1074162 1137348 1421685 1611243 1790270 1895580 2148324 2685405 2843370 3222486 3580540 4833729 5370810 5686740 6444972 8056215 9667458 10741620 16112430 19334916 24168645 32224860 48337290 96674580