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74189720 = 23511237331
BaseRepresentation
bin1000110110000…
…00101110011000
312011121020011102
410123000232120
5122443032340
611210050532
71560413363
oct433005630
9164536142
1074189720
1138972920
1220a19a48
13124a7857
149bd30da
1567a7215
hex46c0b98

74189720 has 64 divisors (see below), whose sum is σ = 190045440. Its totient is φ = 25801600.

The previous prime is 74189719. The next prime is 74189723. The reversal of 74189720 is 2798147.

It is a super-2 number, since 2×741897202 = 11008229107356800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74189723) 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 15 ways as a sum of consecutive naturals, for example, 6455 + ... + 13785.

It is an arithmetic number, because the mean of its divisors is an integer number (2969460).

Almost surely, 274189720 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 74189720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95022720).

74189720 is an abundant number, since it is smaller than the sum of its proper divisors (115855720).

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

74189720 is a wasteful number, since it uses less digits than its factorization.

74189720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7376 (or 7372 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 38.

The square root of 74189720 is about 8613.3454592278. The cubic root of 74189720 is about 420.1921267629.

The spelling of 74189720 in words is "seventy-four million, one hundred eighty-nine thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 92 110 115 184 220 230 253 440 460 506 920 1012 1265 2024 2530 5060 7331 10120 14662 29324 36655 58648 73310 80641 146620 161282 168613 293240 322564 337226 403205 645128 674452 806410 843065 1348904 1612820 1686130 1854743 3225640 3372260 3709486 6744520 7418972 9273715 14837944 18547430 37094860 74189720