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74462140 = 22519292233
BaseRepresentation
bin1000111000000…
…11001110111100
312012010001212001
410130003032330
5123030242030
611215552044
71562626534
oct434031674
9165101761
1074462140
1139039565
1220b2b624
131257184c
149c644c4
15680ccca
hex47033bc

74462140 has 72 divisors (see below), whose sum is σ = 171203760. Its totient is φ = 27127296.

The previous prime is 74462107. The next prime is 74462183. The reversal of 74462140 is 4126447.

It is a super-2 number, since 2×744621402 = 11089220586759200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 74462099 and 74462108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 319464 + ... + 319696.

It is an arithmetic number, because the mean of its divisors is an integer number (2377830).

Almost surely, 274462140 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 74462140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85601880).

74462140 is an abundant number, since it is smaller than the sum of its proper divisors (96741620).

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

74462140 is a wasteful number, since it uses less digits than its factorization.

74462140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 74462140 is about 8629.1448011955. The cubic root of 74462140 is about 420.7058049245.

Adding to 74462140 its reverse (4126447), we get a palindrome (78588587).

The spelling of 74462140 in words is "seventy-four million, four hundred sixty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 19 20 29 38 58 76 95 116 145 190 233 290 380 466 551 580 841 932 1102 1165 1682 2204 2330 2755 3364 4205 4427 4660 5510 6757 8410 8854 11020 13514 15979 16820 17708 22135 27028 31958 33785 44270 63916 67570 79895 88540 128383 135140 159790 195953 256766 319580 391906 513532 641915 783812 979765 1283830 1959530 2567660 3723107 3919060 7446214 14892428 18615535 37231070 74462140