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139794400 = 25521719541
BaseRepresentation
bin10000101010100…
…01011111100000
3100202001021212101
420111101133200
5241241410100
621512140144
73315142564
oct1025213740
9322037771
10139794400
1171a01669
123a997654
1322c678a5
14147cd6a4
15c41586a
hex85517e0

139794400 has 144 divisors (see below), whose sum is σ = 381069360. Its totient is φ = 49766400.

The previous prime is 139794377. The next prime is 139794427. The reversal of 139794400 is 4497931.

It is a self number, because there is not a number n which added to its sum of digits gives 139794400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 258130 + ... + 258670.

It is an arithmetic number, because the mean of its divisors is an integer number (2646315).

Almost surely, 2139794400 is an apocalyptic number.

139794400 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 139794400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190534680).

139794400 is an abundant number, since it is smaller than the sum of its proper divisors (241274960).

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

139794400 is a wasteful number, since it uses less digits than its factorization.

139794400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The square root of 139794400 is about 11823.4681883109. The cubic root of 139794400 is about 518.9951007045.

The spelling of 139794400 in words is "one hundred thirty-nine million, seven hundred ninety-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 17 19 20 25 32 34 38 40 50 68 76 80 85 95 100 136 152 160 170 190 200 272 304 323 340 380 400 425 475 541 544 608 646 680 760 800 850 950 1082 1292 1360 1520 1615 1700 1900 2164 2584 2705 2720 3040 3230 3400 3800 4328 5168 5410 6460 6800 7600 8075 8656 9197 10279 10336 10820 12920 13525 13600 15200 16150 17312 18394 20558 21640 25840 27050 32300 36788 41116 43280 45985 51395 51680 54100 64600 73576 82232 86560 91970 102790 108200 129200 147152 164464 174743 183940 205580 216400 229925 256975 258400 294304 328928 349486 367880 411160 432800 459850 513950 698972 735760 822320 873715 919700 1027900 1397944 1471520 1644640 1747430 1839400 2055800 2795888 3494860 3678800 4111600 4368575 5591776 6989720 7357600 8223200 8737150 13979440 17474300 27958880 34948600 69897200 139794400