Search a number
-
+
3138192 = 2432193137
BaseRepresentation
bin1011111110001010010000
312220102210100
423332022100
51300410232
6151132400
735450151
oct13761220
95812710
103138192
111853852
121074100
1385b525
145b9928
1541ec7c
hex2fe290

3138192 has 120 divisors (see below), whose sum is σ = 9800960. Its totient is φ = 933120.

The previous prime is 3138167. The next prime is 3138193. The reversal of 3138192 is 2918313.

3138192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3138193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84798 + ... + 84834.

Almost surely, 23138192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3138192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4900480).

3138192 is an abundant number, since it is smaller than the sum of its proper divisors (6662768).

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

3138192 is a wasteful number, since it uses less digits than its factorization.

3138192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 92 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 3138192 is about 1771.4942844954. The cubic root of 3138192 is about 146.4063241916.

The spelling of 3138192 in words is "three million, one hundred thirty-eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 31 36 37 38 48 57 62 72 74 76 93 111 114 124 144 148 152 171 186 222 228 248 279 296 304 333 342 372 444 456 496 558 589 592 666 684 703 744 888 912 1116 1147 1178 1332 1368 1406 1488 1767 1776 2109 2232 2294 2356 2664 2736 2812 3441 3534 4218 4464 4588 4712 5301 5328 5624 6327 6882 7068 8436 9176 9424 10323 10602 11248 12654 13764 14136 16872 18352 20646 21204 21793 25308 27528 28272 33744 41292 42408 43586 50616 55056 65379 82584 84816 87172 101232 130758 165168 174344 196137 261516 348688 392274 523032 784548 1046064 1569096 3138192