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120195040 = 2557215331
BaseRepresentation
bin1110010101000…
…00011111100000
322101011112121011
413022200133200
5221232220130
615532110304
72656432600
oct712403740
9271145534
10120195040
1161935349
1234305394
131bb94934
1411d6ac00
15a84352a
hex72a07e0

120195040 has 72 divisors (see below), whose sum is σ = 330343272. Its totient is φ = 41207040.

The previous prime is 120194983. The next prime is 120195073. The reversal of 120195040 is 40591021.

It is a congruent number.

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, 175 + ... + 15505.

It is an arithmetic number, because the mean of its divisors is an integer number (4588101).

Almost surely, 2120195040 is an apocalyptic number.

120195040 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 120195040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165171636).

120195040 is an abundant number, since it is smaller than the sum of its proper divisors (210148232).

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

120195040 is a wasteful number, since it uses less digits than its factorization.

120195040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15360 (or 15345 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 120195040 is about 10963.3498530331. The cubic root of 120195040 is about 493.5094979980.

The spelling of 120195040 in words is "one hundred twenty million, one hundred ninety-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 392 490 560 784 980 1120 1568 1960 3920 7840 15331 30662 61324 76655 107317 122648 153310 214634 245296 306620 429268 490592 536585 613240 751219 858536 1073170 1226480 1502438 1717072 2146340 2452960 3004876 3434144 3756095 4292680 6009752 7512190 8585360 12019504 15024380 17170720 24039008 30048760 60097520 120195040