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120398472 = 23328320147
BaseRepresentation
bin1110010110100…
…10001010001000
322101112212122200
413023102022020
5221310222342
615540320200
72661240645
oct713221210
9271485580
10120398472
1161a64177
12343a3060
131bc363cc
1411dc0dcc
15a88394c
hex72d2288

120398472 has 48 divisors (see below), whose sum is σ = 330024240. Its totient is φ = 39647328.

The previous prime is 120398461. The next prime is 120398479. The reversal of 120398472 is 274893021.

It is a super-3 number, since 3×1203984723 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (120398479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4098 + ... + 16049.

It is an arithmetic number, because the mean of its divisors is an integer number (6875505).

Almost surely, 2120398472 is an apocalyptic number.

120398472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120398472 is an abundant number, since it is smaller than the sum of its proper divisors (209625768).

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

120398472 is a wasteful number, since it uses less digits than its factorization.

120398472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20242 (or 20235 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 120398472 is about 10972.6237518654. The cubic root of 120398472 is about 493.7877652682.

The spelling of 120398472 in words is "one hundred twenty million, three hundred ninety-eight thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 83 166 249 332 498 664 747 996 1494 1992 2988 5976 20147 40294 60441 80588 120882 161176 181323 241764 362646 483528 725292 1450584 1672201 3344402 5016603 6688804 10033206 13377608 15049809 20066412 30099618 40132824 60199236 120398472