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120748080 = 2435895653
BaseRepresentation
bin1110011001001…
…11100000110000
322102012122020010
413030213200300
5221402414310
615552014520
72664225135
oct714474060
9272178203
10120748080
1162182902
1234531440
131c02958b
141207258c
15a902320
hex7327830

120748080 has 80 divisors (see below), whose sum is σ = 378591840. Its totient is φ = 31832064.

The previous prime is 120748079. The next prime is 120748081. The reversal of 120748080 is 80847021.

It is an interprime number because it is at equal distance from previous prime (120748079) and next prime (120748081).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (120748081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18534 + ... + 24186.

It is an arithmetic number, because the mean of its divisors is an integer number (4732398).

Almost surely, 2120748080 is an apocalyptic number.

120748080 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 120748080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189295920).

120748080 is an abundant number, since it is smaller than the sum of its proper divisors (257843760).

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

120748080 is a wasteful number, since it uses less digits than its factorization.

120748080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5758 (or 5752 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 120748080 is about 10988.5431245457. The cubic root of 120748080 is about 494.2652500879.

The spelling of 120748080 in words is "one hundred twenty million, seven hundred forty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 89 120 178 240 267 356 445 534 712 890 1068 1335 1424 1780 2136 2670 3560 4272 5340 5653 7120 10680 11306 16959 21360 22612 28265 33918 45224 56530 67836 84795 90448 113060 135672 169590 226120 271344 339180 452240 503117 678360 1006234 1356720 1509351 2012468 2515585 3018702 4024936 5031170 6037404 7546755 8049872 10062340 12074808 15093510 20124680 24149616 30187020 40249360 60374040 120748080