Search a number
-
+
15139980 = 2233523253
BaseRepresentation
bin111001110000…
…010010001100
31001111012011000
4321300102030
512333434410
61300300300
7242454612
oct71602214
931435130
1015139980
118600989
1250a1690
1331a128b
1420216b2
1514e0dc0
hexe7048c

15139980 has 144 divisors (see below), whose sum is σ = 50168160. Its totient is φ = 3788928.

The previous prime is 15139973. The next prime is 15139987. The reversal of 15139980 is 8993151.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (15139973) and next prime (15139987).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (15139987) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 285634 + ... + 285686.

It is an arithmetic number, because the mean of its divisors is an integer number (348390).

Almost surely, 215139980 is an apocalyptic number.

15139980 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 15139980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25084080).

15139980 is an abundant number, since it is smaller than the sum of its proper divisors (35028180).

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

15139980 is a wasteful number, since it uses less digits than its factorization.

15139980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The square root of 15139980 is about 3891.0127216446. The cubic root of 15139980 is about 247.3859897301.

The spelling of 15139980 in words is "fifteen million, one hundred thirty-nine thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 27 30 36 45 46 53 54 60 69 90 92 106 108 115 135 138 159 180 207 212 230 265 270 276 318 345 414 460 477 529 530 540 621 636 690 795 828 954 1035 1058 1060 1219 1242 1380 1431 1587 1590 1908 2070 2116 2385 2438 2484 2645 2862 3105 3174 3180 3657 4140 4761 4770 4876 5290 5724 6095 6210 6348 7155 7314 7935 9522 9540 10580 10971 12190 12420 14283 14310 14628 15870 18285 19044 21942 23805 24380 28037 28566 28620 31740 32913 36570 43884 47610 54855 56074 57132 65826 71415 73140 84111 95220 109710 112148 131652 140185 142830 164565 168222 219420 252333 280370 285660 329130 336444 420555 504666 560740 658260 756999 841110 1009332 1261665 1513998 1682220 2523330 3027996 3784995 5046660 7569990 15139980