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74196960 = 2535331467
BaseRepresentation
bin1000110110000…
…10011111100000
312011121121002120
410123002133200
5122443300320
611210144240
71560443445
oct433023740
9164547076
1074196960
1138978302
1220a22080
13124aac36
149bd59cc
1567a9440
hex46c27e0

74196960 has 96 divisors (see below), whose sum is σ = 234928512. Its totient is φ = 19683840.

The previous prime is 74196929. The next prime is 74196961. The reversal of 74196960 is 6969147.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74196961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158647 + ... + 159113.

It is an arithmetic number, because the mean of its divisors is an integer number (2447172).

Almost surely, 274196960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74196960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117464256).

74196960 is an abundant number, since it is smaller than the sum of its proper divisors (160731552).

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

74196960 is a wasteful number, since it uses less digits than its factorization.

74196960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 74196960 is about 8613.7657270209. The cubic root of 74196960 is about 420.2057948382.

The spelling of 74196960 in words is "seventy-four million, one hundred ninety-six thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 331 467 480 662 934 993 1324 1401 1655 1868 1986 2335 2648 2802 3310 3736 3972 4670 4965 5296 5604 6620 7005 7472 7944 9340 9930 10592 11208 13240 14010 14944 15888 18680 19860 22416 26480 28020 31776 37360 39720 44832 52960 56040 74720 79440 112080 154577 158880 224160 309154 463731 618308 772885 927462 1236616 1545770 1854924 2318655 2473232 3091540 3709848 4637310 4946464 6183080 7419696 9274620 12366160 14839392 18549240 24732320 37098480 74196960