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74135640 = 23351736341
BaseRepresentation
bin1000110101100…
…11100001011000
312011111110222110
410122303201120
5122434320030
611204552320
71560066615
oct432634130
9164443873
1074135640
1138936227
12209b26a0
1312489057
149bbb50c
1567961b0
hex46b3858

74135640 has 64 divisors (see below), whose sum is σ = 235496160. Its totient is φ = 18606080.

The previous prime is 74135639. The next prime is 74135641. The reversal of 74135640 is 4653147.

It is an interprime number because it is at equal distance from previous prime (74135639) and next prime (74135641).

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

It is a junction number, because it is equal to n+sod(n) for n = 74135598 and 74135607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74135641) 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, 16131 + ... + 20210.

Almost surely, 274135640 is an apocalyptic number.

It is an amenable number.

74135640 is an abundant number, since it is smaller than the sum of its proper divisors (161360520).

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

74135640 is a wasteful number, since it uses less digits than its factorization.

74135640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36372 (or 36368 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 74135640 is about 8610.2055724588. The cubic root of 74135640 is about 420.0900033872.

Adding to 74135640 its reverse (4653147), we get a palindrome (78788787).

The spelling of 74135640 in words is "seventy-four million, one hundred thirty-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 36341 72682 109023 145364 181705 218046 290728 363410 436092 545115 617797 726820 872184 1090230 1235594 1453640 1853391 2180460 2471188 3088985 3706782 4360920 4942376 6177970 7413564 9266955 12355940 14827128 18533910 24711880 37067820 74135640