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120260430 = 23351572837
BaseRepresentation
bin1110010101100…
…00011101001110
322101021212022000
413022300131032
5221241313210
615533333130
72660124333
oct712603516
9271255260
10120260430
116197a494
12343371a6
131bbb8624
1411d8698a
15a857ac0
hex72b074e

120260430 has 64 divisors (see below), whose sum is σ = 322850880. Its totient is φ = 31853952.

The previous prime is 120260429. The next prime is 120260447. The reversal of 120260430 is 34062021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40972 + ... + 43808.

It is an arithmetic number, because the mean of its divisors is an integer number (5044545).

Almost surely, 2120260430 is an apocalyptic number.

120260430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120260430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161425440).

120260430 is an abundant number, since it is smaller than the sum of its proper divisors (202590450).

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

120260430 is a wasteful number, since it uses less digits than its factorization.

120260430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3010 (or 3004 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 120260430 is about 10966.3316564839. The cubic root of 120260430 is about 493.5989768311.

The spelling of 120260430 in words is "one hundred twenty million, two hundred sixty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 157 270 314 471 785 942 1413 1570 2355 2826 2837 4239 4710 5674 7065 8478 8511 14130 14185 17022 21195 25533 28370 42390 42555 51066 76599 85110 127665 153198 255330 382995 445409 765990 890818 1336227 2227045 2672454 4008681 4454090 6681135 8017362 12026043 13362270 20043405 24052086 40086810 60130215 120260430