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123073968 = 24331107773
BaseRepresentation
bin1110101010111…
…11010110110000
322120120210202010
413111133112300
5223001331333
620113522520
73023053143
oct725372660
9276523663
10123073968
1163521326
1235273440
131c662144
14124ba05a
15ac11563
hex755f5b0

123073968 has 80 divisors (see below), whose sum is σ = 331693056. Its totient is φ = 39279360.

The previous prime is 123073949. The next prime is 123073969. The reversal of 123073968 is 869370321.

It is not an unprimeable number, because it can be changed into a prime (123073969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158830 + ... + 159602.

Almost surely, 2123073968 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 123073968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165846528).

123073968 is an abundant number, since it is smaller than the sum of its proper divisors (208619088).

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

123073968 is a wasteful number, since it uses less digits than its factorization.

123073968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 123073968 is about 11093.8707401880. The cubic root of 123073968 is about 497.4186535684.

The spelling of 123073968 in words is "one hundred twenty-three million, seventy-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 107 124 186 214 248 321 372 428 496 642 744 773 856 1284 1488 1546 1712 2319 2568 3092 3317 4638 5136 6184 6634 9276 9951 12368 13268 18552 19902 23963 26536 37104 39804 47926 53072 71889 79608 82711 95852 143778 159216 165422 191704 248133 287556 330844 383408 496266 575112 661688 992532 1150224 1323376 1985064 2564041 3970128 5128082 7692123 10256164 15384246 20512328 30768492 41024656 61536984 123073968