Search a number
-
+
1205056552 = 237313773257
BaseRepresentation
bin100011111010011…
…1011010000101000
310002222112012211011
41013310323100220
54431443302202
6315324313304
741601545260
oct10764732050
93088465734
101205056552
1156924a907
122976a2834
13162874c1b
14b60887a0
1570bd8bd7
hex47d3b428

1205056552 has 128 divisors (see below), whose sum is σ = 2785904640. Its totient is φ = 477757440.

The previous prime is 1205056493. The next prime is 1205056603. The reversal of 1205056552 is 2556505021.

It is a super-2 number, since 2×12050565522 = 2904322587036257408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4688808 + ... + 4689064.

It is an arithmetic number, because the mean of its divisors is an integer number (21764880).

Almost surely, 21205056552 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 1205056552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1392952320).

1205056552 is an abundant number, since it is smaller than the sum of its proper divisors (1580848088).

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

1205056552 is a wasteful number, since it uses less digits than its factorization.

1205056552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 31.

The square root of 1205056552 is about 34713.9244684320. The cubic root of 1205056552 is about 1064.1490854279.

The spelling of 1205056552 in words is "one billion, two hundred five million, fifty-six thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 31 37 56 62 73 74 124 146 148 217 248 257 259 292 296 434 511 514 518 584 868 1022 1028 1036 1147 1736 1799 2044 2056 2072 2263 2294 2701 3598 4088 4526 4588 5402 7196 7967 8029 9052 9176 9509 10804 14392 15841 15934 16058 18104 18761 18907 19018 21608 31682 31868 32116 37522 37814 38036 55769 63364 63736 64232 66563 75044 75628 76072 83731 111538 126728 131327 133126 150088 151256 167462 223076 262654 266252 294779 334924 446152 525308 532504 581591 586117 589558 669848 694157 1050616 1163182 1172234 1179116 1388314 2063453 2326364 2344468 2358232 2776628 4071137 4126906 4652728 4688936 4859099 5553256 8142274 8253812 9718198 16284548 16507624 19436396 21518867 32569096 38872792 43037734 86075468 150632069 172150936 301264138 602528276 1205056552