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151153320 = 233571113157
BaseRepresentation
bin10010000001001…
…10101010101000
3101112102101101010
421000212222220
5302143401240
622555423520
73513532143
oct1100465250
9345371333
10151153320
117835a7aa
1242754ba0
1325413b46
141610905a
15d40b280
hex9026aa8

151153320 has 128 divisors (see below), whose sum is σ = 466871040. Its totient is φ = 39137280.

The previous prime is 151153313. The next prime is 151153337. The reversal of 151153320 is 23351151.

It is a super-2 number, since 2×1511533202 = 45694652294044800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 962682 + ... + 962838.

It is an arithmetic number, because the mean of its divisors is an integer number (3647430).

Almost surely, 2151153320 is an apocalyptic number.

151153320 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 151153320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233435520).

151153320 is an abundant number, since it is smaller than the sum of its proper divisors (315717720).

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

151153320 is a wasteful number, since it uses less digits than its factorization.

151153320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 151153320 is about 12294.4426469849. The cubic root of 151153320 is about 532.6875708539.

The spelling of 151153320 in words is "one hundred fifty-one million, one hundred fifty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 71 113 120 142 157 213 226 284 314 339 355 426 452 471 565 568 628 678 710 785 852 904 942 1065 1130 1256 1356 1420 1570 1695 1704 1884 2130 2260 2355 2712 2840 3140 3390 3768 4260 4520 4710 6280 6780 8023 8520 9420 11147 13560 16046 17741 18840 22294 24069 32092 33441 35482 40115 44588 48138 53223 55735 64184 66882 70964 80230 88705 89176 96276 106446 111470 120345 133764 141928 160460 167205 177410 192552 212892 222940 240690 266115 267528 320920 334410 354820 425784 445880 481380 532230 668820 709640 962760 1064460 1259611 1337640 2128920 2519222 3778833 5038444 6298055 7557666 10076888 12596110 15115332 18894165 25192220 30230664 37788330 50384440 75576660 151153320