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138709480 = 23571353719
BaseRepresentation
bin10000100010010…
…00100111101000
3100200000011122011
420101020213220
5241002200410
621433005304
73303003550
oct1021104750
9320004564
10138709480
1171330538
123a553834
1322977b20
14145ca160
15c29e18a
hex84489e8

138709480 has 128 divisors (see below), whose sum is σ = 391910400. Its totient is φ = 43011072.

The previous prime is 138709471. The next prime is 138709499. The reversal of 138709480 is 84907831.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192561 + ... + 193279.

It is an arithmetic number, because the mean of its divisors is an integer number (3061800).

Almost surely, 2138709480 is an apocalyptic number.

138709480 is a gapful number since it is divisible by the number (10) 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 138709480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195955200).

138709480 is an abundant number, since it is smaller than the sum of its proper divisors (253200920).

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

138709480 is a wasteful number, since it uses less digits than its factorization.

138709480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 138709480 is about 11777.4988855869. The cubic root of 138709480 is about 517.6490021905.

The spelling of 138709480 in words is "one hundred thirty-eight million, seven hundred nine thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 53 56 65 70 91 104 106 130 140 182 212 260 265 280 364 371 424 455 520 530 689 719 728 742 910 1060 1378 1438 1484 1820 1855 2120 2756 2876 2968 3445 3595 3640 3710 4823 5033 5512 5752 6890 7190 7420 9347 9646 10066 13780 14380 14840 18694 19292 20132 24115 25165 27560 28760 37388 38107 38584 40264 46735 48230 50330 65429 74776 76214 93470 96460 100660 130858 152428 186940 190535 192920 201320 261716 266749 304856 327145 373880 381070 495391 523432 533498 654290 762140 990782 1066996 1308580 1333745 1524280 1981564 2133992 2476955 2617160 2667490 3467737 3963128 4953910 5334980 6935474 9907820 10669960 13870948 17338685 19815640 27741896 34677370 69354740 138709480