Search a number
-
+
103276656 = 24327293533
BaseRepresentation
bin1100010011111…
…10000001110000
321012022222221100
412021332001300
5202414323111
614125324400
72362560060
oct611760160
9235288840
10103276656
115332a30a
122a706700
1318520062
14da053a0
159100756
hex627e070

103276656 has 120 divisors (see below), whose sum is σ = 341808480. Its totient is φ = 28482048.

The previous prime is 103276643. The next prime is 103276661. The reversal of 103276656 is 656672301.

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

It is a self number, because there is not a number n which added to its sum of digits gives 103276656.

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, 27466 + ... + 30998.

It is an arithmetic number, because the mean of its divisors is an integer number (2848404).

Almost surely, 2103276656 is an apocalyptic number.

103276656 is a gapful number since it is divisible by the number (16) 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 103276656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170904240).

103276656 is an abundant number, since it is smaller than the sum of its proper divisors (238531824).

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

103276656 is a wasteful number, since it uses less digits than its factorization.

103276656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3583 (or 3574 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 103276656 is about 10162.5122878154. The cubic root of 103276656 is about 469.1741283432.

The spelling of 103276656 in words is "one hundred three million, two hundred seventy-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 29 36 42 48 56 58 63 72 84 87 112 116 126 144 168 174 203 232 252 261 336 348 406 464 504 522 609 696 812 1008 1044 1218 1392 1624 1827 2088 2436 3248 3533 3654 4176 4872 7066 7308 9744 10599 14132 14616 21198 24731 28264 29232 31797 42396 49462 56528 63594 74193 84792 98924 102457 127188 148386 169584 197848 204914 222579 254376 296772 307371 395696 409828 445158 508752 593544 614742 717199 819656 890316 922113 1187088 1229484 1434398 1639312 1780632 1844226 2151597 2458968 2868796 3561264 3688452 4303194 4917936 5737592 6454791 7376904 8606388 11475184 12909582 14753808 17212776 25819164 34425552 51638328 103276656