Search a number
-
+
63055104 = 283737317
BaseRepresentation
bin1111000010001…
…0010100000000
311101122112100020
43300202110000
5112120230404
610131253440
71363650060
oct360422400
9141575306
1063055104
1132658262
121914a280
13100a9718
1485353a0
155807ed9
hex3c22500

63055104 has 144 divisors (see below), whose sum is σ = 197597568. Its totient is φ = 17473536.

The previous prime is 63055099. The next prime is 63055123. The reversal of 63055104 is 40155036.

It is a super-2 number, since 2×630551042 = 7951892280901632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 198754 + ... + 199070.

Almost surely, 263055104 is an apocalyptic number.

63055104 is a gapful number since it is divisible by the number (64) 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 63055104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98798784).

63055104 is an abundant number, since it is smaller than the sum of its proper divisors (134542464).

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

63055104 is a wasteful number, since it uses less digits than its factorization.

63055104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 63055104 is about 7940.7244002043. The cubic root of 63055104 is about 398.0216986057.

The spelling of 63055104 in words is "sixty-three million, fifty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 56 64 74 84 96 111 112 128 148 168 192 222 224 256 259 296 317 336 384 444 448 518 592 634 672 768 777 888 896 951 1036 1184 1268 1344 1554 1776 1792 1902 2072 2219 2368 2536 2688 3108 3552 3804 4144 4438 4736 5072 5376 6216 6657 7104 7608 8288 8876 9472 10144 11729 12432 13314 14208 15216 16576 17752 20288 23458 24864 26628 28416 30432 33152 35187 35504 40576 46916 49728 53256 60864 66304 70374 71008 81152 82103 93832 99456 106512 121728 140748 142016 164206 187664 198912 213024 243456 246309 281496 284032 328412 375328 426048 492618 562992 568064 656824 750656 852096 985236 1125984 1313648 1501312 1704192 1970472 2251968 2627296 3002624 3940944 4503936 5254592 7881888 9007872 10509184 15763776 21018368 31527552 63055104