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14960680 = 2357217449
BaseRepresentation
bin111001000100…
…100000101000
31001011002012021
4321010200220
512312220210
61252354224
7241110100
oct71044050
931132167
1014960680
1184991a9
125015974
13313a797
141db6200
1514a7bda
hexe44828

14960680 has 96 divisors (see below), whose sum is σ = 41553000. Its totient is φ = 4816896.

The previous prime is 14960651. The next prime is 14960719. The reversal of 14960680 is 8606941.

It can be written as a sum of positive squares in 4 ways, for example, as 13972644 + 988036 = 3738^2 + 994^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

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, 33096 + ... + 33544.

Almost surely, 214960680 is an apocalyptic number.

14960680 is a gapful number since it is divisible by the number (10) 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 14960680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20776500).

14960680 is an abundant number, since it is smaller than the sum of its proper divisors (26592320).

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

14960680 is a wasteful number, since it uses less digits than its factorization.

14960680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 14960680 is about 3867.9038250711. The cubic root of 14960680 is about 246.4055267355.

The spelling of 14960680 in words is "fourteen million, nine hundred sixty thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 49 56 68 70 85 98 119 136 140 170 196 238 245 280 340 392 449 476 490 595 680 833 898 952 980 1190 1666 1796 1960 2245 2380 3143 3332 3592 4165 4490 4760 6286 6664 7633 8330 8980 12572 15266 15715 16660 17960 22001 25144 30532 31430 33320 38165 44002 53431 61064 62860 76330 88004 106862 110005 125720 152660 176008 213724 220010 267155 305320 374017 427448 440020 534310 748034 880040 1068620 1496068 1870085 2137240 2992136 3740170 7480340 14960680