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23482140 = 22351147757
BaseRepresentation
bin101100110010…
…0111100011100
31122012000102220
41121210330130
522002412030
62155145340
7403411023
oct131447434
948160386
1023482140
1112289530
127a45250
134b32376
1431938ba
1520dca10
hex1664f1c

23482140 has 96 divisors (see below), whose sum is σ = 73350144. Its totient is φ = 5564160.

The previous prime is 23482139. The next prime is 23482181. The reversal of 23482140 is 4128432.

It is a self number, because there is not a number n which added to its sum of digits gives 23482140.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30642 + ... + 31398.

It is an arithmetic number, because the mean of its divisors is an integer number (764064).

Almost surely, 223482140 is an apocalyptic number.

23482140 is a gapful number since it is divisible by the number (20) 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 23482140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36675072).

23482140 is an abundant number, since it is smaller than the sum of its proper divisors (49868004).

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

23482140 is a wasteful number, since it uses less digits than its factorization.

23482140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 23482140 is about 4845.8373889350. The cubic root of 23482140 is about 286.3601344541.

The spelling of 23482140 in words is "twenty-three million, four hundred eighty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 47 55 60 66 94 110 132 141 165 188 220 235 282 330 470 517 564 660 705 757 940 1034 1410 1514 1551 2068 2271 2585 2820 3028 3102 3785 4542 5170 6204 7570 7755 8327 9084 10340 11355 15140 15510 16654 22710 24981 31020 33308 35579 41635 45420 49962 71158 83270 99924 106737 124905 142316 166540 177895 213474 249810 355790 391369 426948 499620 533685 711580 782738 1067370 1174107 1565476 1956845 2134740 2348214 3913690 4696428 5870535 7827380 11741070 23482140