Search a number
-
+
139891680 = 25325195113
BaseRepresentation
bin10000101011010…
…01001111100000
3100202020020022100
420111221033200
5241303013210
621514210400
73316026315
oct1025511740
9322206270
10139891680
1171a68765
123aa23a00
1322c9cc56
1414816d0c
15c4345c0
hex85693e0

139891680 has 144 divisors (see below), whose sum is σ = 502603920. Its totient is φ = 35334144.

The previous prime is 139891673. The next prime is 139891729. The reversal of 139891680 is 86198931.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 24804 + ... + 29916.

It is an arithmetic number, because the mean of its divisors is an integer number (3490305).

Almost surely, 2139891680 is an apocalyptic number.

139891680 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 139891680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251301960).

139891680 is an abundant number, since it is smaller than the sum of its proper divisors (362712240).

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

139891680 is a wasteful number, since it uses less digits than its factorization.

139891680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5153 (or 5142 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 139891680 is about 11827.5813250216. The cubic root of 139891680 is about 519.1154587369.

The spelling of 139891680 in words is "one hundred thirty-nine million, eight hundred ninety-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 32 36 38 40 45 48 57 60 72 76 80 90 95 96 114 120 144 152 160 171 180 190 228 240 285 288 304 342 360 380 456 480 570 608 684 720 760 855 912 1140 1368 1440 1520 1710 1824 2280 2736 3040 3420 4560 5113 5472 6840 9120 10226 13680 15339 20452 25565 27360 30678 40904 46017 51130 61356 76695 81808 92034 97147 102260 122712 153390 163616 184068 194294 204520 230085 245424 291441 306780 368136 388588 409040 460170 485735 490848 582882 613560 736272 777176 818080 874323 920340 971470 1165764 1227120 1457205 1472544 1554352 1748646 1840680 1942940 2331528 2454240 2914410 3108704 3497292 3681360 3885880 4371615 4663056 5828820 6994584 7362720 7771760 8743230 9326112 11657640 13989168 15543520 17486460 23315280 27978336 34972920 46630560 69945840 139891680