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120480372 = 223679523
BaseRepresentation
bin1110010111001…
…10001001110100
322101201001000000
413023212021310
5221320332442
615542151300
72662031505
oct713461164
9271631000
10120480372
116200a761
1234422530
131bc6477c
1412002bac
15a89cd4c
hex72e6274

120480372 has 84 divisors (see below), whose sum is σ = 320729920. Its totient is φ = 39575952.

The previous prime is 120480361. The next prime is 120480379. The reversal of 120480372 is 273084021.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120480379) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 230103 + ... + 230625.

Almost surely, 2120480372 is an apocalyptic number.

120480372 is a gapful number since it is divisible by the number (12) 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 120480372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160364960).

120480372 is an abundant number, since it is smaller than the sum of its proper divisors (200249548).

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

120480372 is an equidigital number, since it uses as much as digits as its factorization.

120480372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 120480372 is about 10976.3551327387. The cubic root of 120480372 is about 493.8997048159.

The spelling of 120480372 in words is "one hundred twenty million, four hundred eighty thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 79 81 108 158 162 237 243 316 324 474 486 523 711 729 948 972 1046 1422 1458 1569 2092 2133 2844 2916 3138 4266 4707 6276 6399 8532 9414 12798 14121 18828 19197 25596 28242 38394 41317 42363 56484 57591 76788 82634 84726 115182 123951 127089 165268 169452 230364 247902 254178 371853 381267 495804 508356 743706 762534 1115559 1487412 1525068 2231118 3346677 4462236 6693354 10040031 13386708 20080062 30120093 40160124 60240186 120480372