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138303744 = 2831011783
BaseRepresentation
bin10000011111001…
…01100100000000
3100122020120001220
420033211210000
5240401204434
621420155040
73266363625
oct1017454400
9318216056
10138303744
1171083717
123a398a80
1322865247
141452234c
15c21dd49
hex83e5900

138303744 has 72 divisors (see below), whose sum is σ = 371942592. Its totient is φ = 45619200.

The previous prime is 138303733. The next prime is 138303757. The reversal of 138303744 is 447303831.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76677 + ... + 78459.

Almost surely, 2138303744 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 138303744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185971296).

138303744 is an abundant number, since it is smaller than the sum of its proper divisors (233638848).

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

138303744 is a wasteful number, since it uses less digits than its factorization.

138303744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1903 (or 1889 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 138303744 is about 11760.2612215886. The cubic root of 138303744 is about 517.1437880971.

The spelling of 138303744 in words is "one hundred thirty-eight million, three hundred three thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 101 128 192 202 256 303 384 404 606 768 808 1212 1616 1783 2424 3232 3566 4848 5349 6464 7132 9696 10698 12928 14264 19392 21396 25856 28528 38784 42792 57056 77568 85584 114112 171168 180083 228224 342336 360166 456448 540249 684672 720332 1080498 1369344 1440664 2160996 2881328 4321992 5762656 8643984 11525312 17287968 23050624 34575936 46101248 69151872 138303744