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74629020 = 223523411319
BaseRepresentation
bin1000111001010…
…11111110011100
312012102112202210
410130223332130
5123101112040
611223320420
71564223214
oct434537634
9165375683
1074629020
1139142984
1220bb0110
13125cc7ab
149ca9244
156842480
hex472bf9c

74629020 has 96 divisors (see below), whose sum is σ = 223534080. Its totient is φ = 18557440.

The previous prime is 74629019. The next prime is 74629021. The reversal of 74629020 is 2092647.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (74629019) and next prime (74629021).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74629021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55921 + ... + 57239.

It is an arithmetic number, because the mean of its divisors is an integer number (2328480).

Almost surely, 274629020 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 74629020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111767040).

74629020 is an abundant number, since it is smaller than the sum of its proper divisors (148905060).

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

74629020 is a wasteful number, since it uses less digits than its factorization.

74629020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1395 (or 1393 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 74629020 is about 8638.8089456823. The cubic root of 74629020 is about 421.0198571474.

The spelling of 74629020 in words is "seventy-four million, six hundred twenty-nine thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 41 46 60 69 82 92 115 123 138 164 205 230 246 276 345 410 460 492 615 690 820 943 1230 1319 1380 1886 2460 2638 2829 3772 3957 4715 5276 5658 6595 7914 9430 11316 13190 14145 15828 18860 19785 26380 28290 30337 39570 54079 56580 60674 79140 91011 108158 121348 151685 162237 182022 216316 270395 303370 324474 364044 455055 540790 606740 648948 811185 910110 1081580 1243817 1622370 1820220 2487634 3244740 3731451 4975268 6219085 7462902 12438170 14925804 18657255 24876340 37314510 74629020