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74020160 = 2652271019
BaseRepresentation
bin1000110100101…
…11010101000000
312011021121120102
410122113111000
5122422121120
611202301532
71556106134
oct432272500
9164247512
1074020160
1138867495
12209578a8
1312448616
149b8b3c4
156771d75
hex4697540

74020160 has 56 divisors (see below), whose sum is σ = 177210720. Its totient is φ = 29448704.

The previous prime is 74020153. The next prime is 74020183. The reversal of 74020160 is 6102047.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 72131 + ... + 73149.

Almost surely, 274020160 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 74020160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88605360).

74020160 is an abundant number, since it is smaller than the sum of its proper divisors (103190560).

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

74020160 is a wasteful number, since it uses less digits than its factorization.

74020160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 74020160 is about 8603.4969634446. The cubic root of 74020160 is about 419.8717673529.

The spelling of 74020160 in words is "seventy-four million, twenty thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 227 320 454 908 1019 1135 1816 2038 2270 3632 4076 4540 5095 7264 8152 9080 10190 14528 16304 18160 20380 32608 36320 40760 65216 72640 81520 163040 231313 326080 462626 925252 1156565 1850504 2313130 3701008 4626260 7402016 9252520 14804032 18505040 37010080 74020160