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123243948 = 223217277727
BaseRepresentation
bin1110101100010…
…00110110101100
322120220102220200
413112020312230
5223022301243
620121313500
73024361542
oct726106654
9276812820
10123243948
1163628003
1235335890
131c6c1619
1412521d92
15ac46ad3
hex7588dac

123243948 has 72 divisors (see below), whose sum is σ = 331504992. Its totient is φ = 38472192.

The previous prime is 123243947. The next prime is 123244007. The reversal of 123243948 is 849342321.

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 (123243943) 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, 169161 + ... + 169887.

It is an arithmetic number, because the mean of its divisors is an integer number (4604236).

Almost surely, 2123243948 is an apocalyptic number.

123243948 is a gapful number since it is divisible by the number (18) 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 123243948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165752496).

123243948 is an abundant number, since it is smaller than the sum of its proper divisors (208261044).

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

123243948 is a wasteful number, since it uses less digits than its factorization.

123243948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031 (or 1026 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 123243948 is about 11101.5290838695. The cubic root of 123243948 is about 497.6475466176.

The spelling of 123243948 in words is "one hundred twenty-three million, two hundred forty-three thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 277 306 554 612 727 831 1108 1454 1662 2181 2493 2908 3324 4362 4709 4986 6543 8724 9418 9972 12359 13086 14127 18836 24718 26172 28254 37077 42381 49436 56508 74154 84762 111231 148308 169524 201379 222462 402758 444924 604137 805516 1208274 1812411 2416548 3423443 3624822 6846886 7249644 10270329 13693772 20540658 30810987 41081316 61621974 123243948