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151073120 = 2551185837
BaseRepresentation
bin10010000000100…
…11000101100000
3101112021022100202
421000103011200
5302133314440
622554004332
73513046262
oct1100230540
9345238322
10151073120
1178305520
12427166a8
13253b64a3
14160c7b32
15d3e2615
hex9013160

151073120 has 48 divisors (see below), whose sum is σ = 389361168. Its totient is φ = 54935040.

The previous prime is 151073119. The next prime is 151073129. The reversal of 151073120 is 21370151.

151073120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 151073092 and 151073101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151073129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41159 + ... + 44678.

It is an arithmetic number, because the mean of its divisors is an integer number (8111691).

Almost surely, 2151073120 is an apocalyptic number.

151073120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151073120 is an abundant number, since it is smaller than the sum of its proper divisors (238288048).

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

151073120 is a wasteful number, since it uses less digits than its factorization.

151073120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85863 (or 85855 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 20.

The square root of 151073120 is about 12291.1805779591. The cubic root of 151073120 is about 532.5933418039.

The spelling of 151073120 in words is "one hundred fifty-one million, seventy-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 85837 171674 343348 429185 686696 858370 944207 1373392 1716740 1888414 2746784 3433480 3776828 4721035 6866960 7553656 9442070 13733920 15107312 18884140 30214624 37768280 75536560 151073120