Search a number
-
+
139896672 = 25317233727
BaseRepresentation
bin10000101011010…
…10011101100000
3100202020111011020
420111222131200
5241303143142
621514245440
73316050006
oct1025523540
9322214136
10139896672
1171a71493
123aa26880
1322ca22c6
1414818a76
15c435cec
hex856a760

139896672 has 96 divisors (see below), whose sum is σ = 405844992. Its totient is φ = 41969664.

The previous prime is 139896661. The next prime is 139896683. The reversal of 139896672 is 276698931.

It is an interprime number because it is at equal distance from previous prime (139896661) and next prime (139896683).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35673 + ... + 39399.

It is an arithmetic number, because the mean of its divisors is an integer number (4227552).

Almost surely, 2139896672 is an apocalyptic number.

139896672 is a gapful number since it is divisible by the number (12) 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 139896672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202922496).

139896672 is an abundant number, since it is smaller than the sum of its proper divisors (265948320).

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

139896672 is a wasteful number, since it uses less digits than its factorization.

139896672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3780 (or 3772 counting only the distinct ones).

The product of its digits is 979776, while the sum is 51.

The square root of 139896672 is about 11827.7923552961. The cubic root of 139896672 is about 519.1216334991.

The spelling of 139896672 in words is "one hundred thirty-nine million, eight hundred ninety-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 23 24 32 34 46 48 51 68 69 92 96 102 136 138 184 204 272 276 368 391 408 544 552 736 782 816 1104 1173 1564 1632 2208 2346 3128 3727 4692 6256 7454 9384 11181 12512 14908 18768 22362 29816 37536 44724 59632 63359 85721 89448 119264 126718 171442 178896 190077 253436 257163 342884 357792 380154 506872 514326 685768 760308 1013744 1028652 1371536 1457257 1520616 2027488 2057304 2743072 2914514 3041232 4114608 4371771 5829028 6082464 8229216 8743542 11658056 17487084 23316112 34974168 46632224 69948336 139896672