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123406704 = 24323372543
BaseRepresentation
bin1110101101100…
…00100101110000
322121012201011200
413112300211300
5223043003304
620125011200
73025640211
oct726604560
9277181150
10123406704
1163729313
12353b3b00
131c74a725
1412565408
15ac79e39
hex75b0970

123406704 has 60 divisors (see below), whose sum is σ = 346528416. Its totient is φ = 40997376.

The previous prime is 123406693. The next prime is 123406711. The reversal of 123406704 is 407604321.

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 11 ways as a sum of consecutive naturals, for example, 47257 + ... + 49799.

Almost surely, 2123406704 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 123406704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173264208).

123406704 is an abundant number, since it is smaller than the sum of its proper divisors (223121712).

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

123406704 is a wasteful number, since it uses less digits than its factorization.

123406704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2894 (or 2885 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 123406704 is about 11108.8570069112. The cubic root of 123406704 is about 497.8665147630.

It can be divided in two parts, 12340 and 6704, that added together give a square (19044 = 1382).

The spelling of 123406704 in words is "one hundred twenty-three million, four hundred six thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 337 674 1011 1348 2022 2543 2696 3033 4044 5086 5392 6066 7629 8088 10172 12132 15258 16176 20344 22887 24264 30516 40688 45774 48528 61032 91548 122064 183096 366192 856991 1713982 2570973 3427964 5141946 6855928 7712919 10283892 13711856 15425838 20567784 30851676 41135568 61703352 123406704