Search a number
-
+
138719560 = 23574783127
BaseRepresentation
bin10000100010010…
…11000101001000
3100200000200110111
420101023011020
5241003011220
621433124104
73303045130
oct1021130510
9320020414
10138719560
1171338071
123a559634
132297c5a5
14145cdac0
15c2a215a
hex844b148

138719560 has 128 divisors (see below), whose sum is σ = 371589120. Its totient is φ = 45626112.

The previous prime is 138719543. The next prime is 138719563. The reversal of 138719560 is 65917831.

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

It is not an unprimeable number, because it can be changed into a prime (138719563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1092217 + ... + 1092343.

It is an arithmetic number, because the mean of its divisors is an integer number (2903040).

Almost surely, 2138719560 is an apocalyptic number.

138719560 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 138719560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185794560).

138719560 is an abundant number, since it is smaller than the sum of its proper divisors (232869560).

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

138719560 is a wasteful number, since it uses less digits than its factorization.

138719560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 40.

The square root of 138719560 is about 11777.9268124743. The cubic root of 138719560 is about 517.6615410488.

The spelling of 138719560 in words is "one hundred thirty-eight million, seven hundred nineteen thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 47 56 70 83 94 127 140 166 188 235 254 280 329 332 376 415 470 508 581 635 658 664 830 889 940 1016 1162 1270 1316 1645 1660 1778 1880 2324 2540 2632 2905 3290 3320 3556 3901 4445 4648 5080 5810 5969 6580 7112 7802 8890 10541 11620 11938 13160 15604 17780 19505 21082 23240 23876 27307 29845 31208 35560 39010 41783 42164 47752 52705 54614 59690 73787 78020 83566 84328 105410 109228 119380 136535 147574 156040 167132 208915 210820 218456 238760 273070 295148 334264 368935 417830 421640 495427 546140 590296 737870 835660 990854 1092280 1475740 1671320 1981708 2477135 2951480 3467989 3963416 4954270 6935978 9908540 13871956 17339945 19817080 27743912 34679890 69359780 138719560