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151350720 = 2635374261
BaseRepresentation
bin10010000010101…
…10110111000000
3101112210102011020
421001112313000
5302221210340
623003545440
73515313513
oct1101266700
9345712136
10151350720
1178485044
124282b280
1325482951
141615ad7a
15d4499d0
hex9056dc0

151350720 has 112 divisors (see below), whose sum is σ = 493641888. Its totient is φ = 39260160.

The previous prime is 151350679. The next prime is 151350767. The reversal of 151350720 is 27053151.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33390 + ... + 37650.

Almost surely, 2151350720 is an apocalyptic number.

151350720 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 151350720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246820944).

151350720 is an abundant number, since it is smaller than the sum of its proper divisors (342291168).

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

151350720 is a wasteful number, since it uses less digits than its factorization.

151350720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4318 (or 4308 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 24.

The square root of 151350720 is about 12302.4680450713. The cubic root of 151350720 is about 532.9193593115.

The spelling of 151350720 in words is "one hundred fifty-one million, three hundred fifty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 64 74 80 96 111 120 148 160 185 192 222 240 296 320 370 444 480 555 592 740 888 960 1110 1184 1480 1776 2220 2368 2960 3552 4261 4440 5920 7104 8522 8880 11840 12783 17044 17760 21305 25566 34088 35520 42610 51132 63915 68176 85220 102264 127830 136352 157657 170440 204528 255660 272704 315314 340880 409056 472971 511320 630628 681760 788285 818112 945942 1022640 1261256 1363520 1576570 1891884 2045280 2364855 2522512 3153140 3783768 4090560 4729710 5045024 6306280 7567536 9459420 10090048 12612560 15135072 18918840 25225120 30270144 37837680 50450240 75675360 151350720