Search a number
-
+
655376960 = 26574853
BaseRepresentation
bin100111000100000…
…100001001000000
31200200012121011202
4213010010021000
52320234030320
6145011000332
722145420000
oct4704041100
91620177152
10655376960
11306a41457
121635990a8
13a5a17524
1463080000
153c80ab75
hex27104240

655376960 has 140 divisors (see below), whose sum is σ = 1822745148. Its totient is φ = 224437248.

The previous prime is 655376933. The next prime is 655376987. The reversal of 655376960 is 69673556.

It is an interprime number because it is at equal distance from previous prime (655376933) and next prime (655376987).

It can be written as a sum of positive squares in 2 ways, for example, as 120472576 + 534904384 = 10976^2 + 23128^2 .

It is a tau number, because it is divible by the number of its divisors (140).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 767894 + ... + 768746.

Almost surely, 2655376960 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 655376960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (911372574).

655376960 is an abundant number, since it is smaller than the sum of its proper divisors (1167368188).

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

655376960 is an frugal number, since it uses more digits than its factorization.

655376960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 1020600, while the sum is 47.

The square root of 655376960 is about 25600.3312478569. The cubic root of 655376960 is about 868.6211301694.

The spelling of 655376960 in words is "six hundred fifty-five million, three hundred seventy-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 140 160 196 224 245 280 320 343 392 448 490 560 686 784 853 980 1120 1372 1568 1706 1715 1960 2240 2401 2744 3136 3412 3430 3920 4265 4802 5488 5971 6824 6860 7840 8530 9604 10976 11942 12005 13648 13720 15680 17060 19208 21952 23884 24010 27296 27440 29855 34120 38416 41797 47768 48020 54592 54880 59710 68240 76832 83594 95536 96040 109760 119420 136480 153664 167188 191072 192080 208985 238840 272960 292579 334376 382144 384160 417970 477680 585158 668752 768320 835940 955360 1170316 1337504 1462895 1671880 1910720 2048053 2340632 2675008 2925790 3343760 4096106 4681264 5851580 6687520 8192212 9362528 10240265 11703160 13375040 16384424 18725056 20480530 23406320 32768848 40961060 46812640 65537696 81922120 93625280 131075392 163844240 327688480 655376960