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120531488 = 2571124447
BaseRepresentation
bin1110010111100…
…10101000100000
322101210122010012
413023302220200
5221324001423
615543224052
72662333520
oct713625040
9271718105
10120531488
1162045100
1234448028
131bc81b0c
1412017680
15a8ad078
hex72f2a20

120531488 has 72 divisors (see below), whose sum is σ = 298158336. Its totient is φ = 46949760.

The previous prime is 120531469. The next prime is 120531493. The reversal of 120531488 is 884135021.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 24881 + ... + 29327.

It is an arithmetic number, because the mean of its divisors is an integer number (4141088).

Almost surely, 2120531488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120531488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149079168).

120531488 is an abundant number, since it is smaller than the sum of its proper divisors (177626848).

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

120531488 is a wasteful number, since it uses less digits than its factorization.

120531488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4486 (or 4467 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 120531488 is about 10978.6833454654. The cubic root of 120531488 is about 493.9695435992.

The spelling of 120531488 in words is "one hundred twenty million, five hundred thirty-one thousand, four hundred eighty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 121 154 176 224 242 308 352 484 616 847 968 1232 1694 1936 2464 3388 3872 4447 6776 8894 13552 17788 27104 31129 35576 48917 62258 71152 97834 124516 142304 195668 249032 342419 391336 498064 538087 684838 782672 996128 1076174 1369676 1565344 2152348 2739352 3766609 4304696 5478704 7533218 8609392 10957408 15066436 17218784 30132872 60265744 120531488