Search a number
-
+
660311160 = 2335311391277
BaseRepresentation
bin100111010110111…
…000110001111000
31201000111021121220
4213112320301320
52323014424120
6145304432040
722235360265
oct4726706170
91630437556
10660311160
11309801603
12165178620
13a6a54382
14639a626c
153ce82b40
hex275b8c78

660311160 has 128 divisors (see below), whose sum is σ = 2061158400. Its totient is φ = 169044480.

The previous prime is 660311159. The next prime is 660311177. The reversal of 660311160 is 61113066.

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

It is a self number, because there is not a number n which added to its sum of digits gives 660311160.

It is a congruent number.

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, 516442 + ... + 517718.

It is an arithmetic number, because the mean of its divisors is an integer number (16102800).

Almost surely, 2660311160 is an apocalyptic number.

660311160 is a gapful number since it is divisible by the number (60) 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 660311160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1030579200).

660311160 is an abundant number, since it is smaller than the sum of its proper divisors (1400847240).

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

660311160 is a wasteful number, since it uses less digits than its factorization.

660311160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1461 (or 1457 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 660311160 is about 25696.5203870096. The cubic root of 660311160 is about 870.7955729654.

The spelling of 660311160 in words is "six hundred sixty million, three hundred eleven thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 139 155 186 248 278 310 372 417 465 556 620 695 744 834 930 1112 1240 1277 1390 1668 1860 2085 2554 2780 3336 3720 3831 4170 4309 5108 5560 6385 7662 8340 8618 10216 12770 12927 15324 16680 17236 19155 21545 25540 25854 30648 34472 38310 39587 43090 51080 51708 64635 76620 79174 86180 103416 118761 129270 153240 158348 172360 177503 197935 237522 258540 316696 355006 395870 475044 517080 532509 593805 710012 791740 887515 950088 1065018 1187610 1420024 1583480 1775030 2130036 2375220 2662545 3550060 4260072 4750440 5325090 5502593 7100120 10650180 11005186 16507779 21300360 22010372 27512965 33015558 44020744 55025930 66031116 82538895 110051860 132062232 165077790 220103720 330155580 660311160