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151304640 = 26353972
BaseRepresentation
bin10010000010010…
…11100111000000
3101112201001221120
421001023213000
5302213222030
623002552240
73515032254
oct1101134700
9345631846
10151304640
1178453463
1242808680
1325467996
1416148264
15d43b010
hex904b9c0

151304640 has 84 divisors (see below), whose sum is σ = 481605336. Its totient is φ = 40246272.

The previous prime is 151304639. The next prime is 151304653. The reversal of 151304640 is 46403151.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 151304640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 380922 + ... + 381318.

Almost surely, 2151304640 is an apocalyptic number.

151304640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151304640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240802668).

151304640 is an abundant number, since it is smaller than the sum of its proper divisors (330300696).

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

151304640 is an frugal number, since it uses more digits than its factorization.

151304640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 151304640 is about 12300.5951075548. The cubic root of 151304640 is about 532.8652698944.

Adding to 151304640 its reverse (46403151), we get a palindrome (197707791).

The spelling of 151304640 in words is "one hundred fifty-one million, three hundred four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 397 480 794 960 1191 1588 1985 2382 3176 3970 4764 5955 6352 7940 9528 11910 12704 15880 19056 23820 25408 31760 38112 47640 63520 76224 95280 127040 157609 190560 315218 381120 472827 630436 788045 945654 1260872 1576090 1891308 2364135 2521744 3152180 3782616 4728270 5043488 6304360 7565232 9456540 10086976 12608720 15130464 18913080 25217440 30260928 37826160 50434880 75652320 151304640