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138474960 = 24351344383
BaseRepresentation
bin10000100000011…
…11010111010000
3100122120020221020
420100033113100
5240422144320
621423555440
73301006041
oct1020172720
9318506836
10138474960
1171190318
123a45bb80
13228c5160
14145688c8
15c254940
hex840f5d0

138474960 has 80 divisors (see below), whose sum is σ = 462303744. Its totient is φ = 34085376.

The previous prime is 138474949. The next prime is 138474961. The reversal of 138474960 is 69474831.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138474961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19072 + ... + 25311.

Almost surely, 2138474960 is an apocalyptic number.

138474960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138474960 is an abundant number, since it is smaller than the sum of its proper divisors (323828784).

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

138474960 is a wasteful number, since it uses less digits than its factorization.

138474960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44412 (or 44406 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 138474960 is about 11767.5384001923. The cubic root of 138474960 is about 517.3571030693.

The spelling of 138474960 in words is "one hundred thirty-eight million, four hundred seventy-four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 44383 88766 133149 177532 221915 266298 355064 443830 532596 576979 665745 710128 887660 1065192 1153958 1331490 1730937 1775320 2130384 2307916 2662980 2884895 3461874 3550640 4615832 5325960 5769790 6923748 8654685 9231664 10651920 11539580 13847496 17309370 23079160 27694992 34618740 46158320 69237480 138474960