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151330760 = 23574312569
BaseRepresentation
bin10010000010100…
…01111111001000
3101112202101202222
421001101333020
5302220041020
623003313212
73515201360
oct1101217710
9345671688
10151330760
1178471049
124281b808
1325476839
14161539a0
15d443b25
hex9051fc8

151330760 has 64 divisors (see below), whose sum is σ = 398217600. Its totient is φ = 50674176.

The previous prime is 151330733. The next prime is 151330769. The reversal of 151330760 is 67033151.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (151330769) 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, 5756 + ... + 18324.

It is an arithmetic number, because the mean of its divisors is an integer number (6222150).

Almost surely, 2151330760 is an apocalyptic number.

151330760 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 151330760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199108800).

151330760 is an abundant number, since it is smaller than the sum of its proper divisors (246886840).

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

151330760 is a wasteful number, since it uses less digits than its factorization.

151330760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12630 (or 12626 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 26.

The square root of 151330760 is about 12301.6567989844. The cubic root of 151330760 is about 532.8959313026.

The spelling of 151330760 in words is "one hundred fifty-one million, three hundred thirty thousand, seven hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 43 56 70 86 140 172 215 280 301 344 430 602 860 1204 1505 1720 2408 3010 6020 12040 12569 25138 50276 62845 87983 100552 125690 175966 251380 351932 439915 502760 540467 703864 879830 1080934 1759660 2161868 2702335 3519320 3783269 4323736 5404670 7566538 10809340 15133076 18916345 21618680 30266152 37832690 75665380 151330760