Search a number
-
+
123197904 = 243247109167
BaseRepresentation
bin1110101011111…
…01100111010000
322120211002202100
413111331213100
5223014313104
620120320400
73024110364
oct725754720
9276732670
10123197904
11635a6455
1235313100
131c6a668b
141250d2a4
15ac38139
hex757d9d0

123197904 has 120 divisors (see below), whose sum is σ = 357477120. Its totient is φ = 39585024.

The previous prime is 123197903. The next prime is 123197909. The reversal of 123197904 is 409791321.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123197903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 737629 + ... + 737795.

It is an arithmetic number, because the mean of its divisors is an integer number (2978976).

Almost surely, 2123197904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123197904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178738560).

123197904 is an abundant number, since it is smaller than the sum of its proper divisors (234279216).

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

123197904 is a wasteful number, since it uses less digits than its factorization.

123197904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 123197904 is about 11099.4551217616. The cubic root of 123197904 is about 497.5855651082.

The spelling of 123197904 in words is "one hundred twenty-three million, one hundred ninety-seven thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 94 109 141 144 167 188 218 282 327 334 376 423 436 501 564 654 668 752 846 872 981 1002 1128 1308 1336 1503 1692 1744 1962 2004 2256 2616 2672 3006 3384 3924 4008 5123 5232 6012 6768 7848 7849 8016 10246 12024 15369 15696 15698 18203 20492 23547 24048 30738 31396 36406 40984 46107 47094 54609 61476 62792 70641 72812 81968 92214 94188 109218 122952 125584 141282 145624 163827 184428 188376 218436 245904 282564 291248 327654 368856 376752 436872 565128 655308 737712 855541 873744 1130256 1310616 1711082 2566623 2621232 3422164 5133246 6844328 7699869 10266492 13688656 15399738 20532984 30799476 41065968 61598952 123197904