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120538044 = 223411311091
BaseRepresentation
bin1110010111101…
…00001110111100
322101210222010000
413023310032330
5221324204134
615543314300
72662361604
oct713641674
9271728100
10120538044
116204a020
123444b990
131bc84ab3
1412019c04
15a8aee99
hex72f43bc

120538044 has 120 divisors (see below), whose sum is σ = 355170816. Its totient is φ = 35316000.

The previous prime is 120538031. The next prime is 120538057. The reversal of 120538044 is 440835021.

120538044 is a `hidden beast` number, since 120 + 538 + 0 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (120538031) and next prime (120538057).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 120537999 and 120538017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 109939 + ... + 111029.

Almost surely, 2120538044 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 120538044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177585408).

120538044 is an abundant number, since it is smaller than the sum of its proper divisors (234632772).

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

120538044 is a wasteful number, since it uses less digits than its factorization.

120538044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 120538044 is about 10978.9819200143. The cubic root of 120538044 is about 493.9784995041.

The spelling of 120538044 in words is "one hundred twenty million, five hundred thirty-eight thousand, forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 31 33 36 44 54 62 66 81 93 99 108 124 132 162 186 198 279 297 324 341 372 396 558 594 682 837 891 1023 1091 1116 1188 1364 1674 1782 2046 2182 2511 3069 3273 3348 3564 4092 4364 5022 6138 6546 9207 9819 10044 12001 12276 13092 18414 19638 24002 27621 29457 33821 36003 36828 39276 48004 55242 58914 67642 72006 88371 101463 108009 110484 117828 135284 144012 176742 202926 216018 304389 324027 353484 372031 405852 432036 608778 648054 744062 913167 972081 1116093 1217556 1296108 1488124 1826334 1944162 2232186 2739501 3348279 3652668 3888324 4464372 5479002 6696558 10044837 10958004 13393116 20089674 30134511 40179348 60269022 120538044