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669636240 = 243571330661
BaseRepresentation
bin100111111010011…
…101011010010000
31201200001001020020
4213322131122100
52332411324430
6150240343440
722410546150
oct4772353220
91650031206
10669636240
11313aa0689
12168314b80
13a896a980
1464d12760
153dbc5b10
hex27e9d690

669636240 has 160 divisors (see below), whose sum is σ = 2555003136. Its totient is φ = 141281280.

The previous prime is 669636229. The next prime is 669636241. The reversal of 669636240 is 42636966.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 669636192 and 669636201.

It is not an unprimeable number, because it can be changed into a prime (669636241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6510 + ... + 37170.

Almost surely, 2669636240 is an apocalyptic number.

669636240 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 669636240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1277501568).

669636240 is an abundant number, since it is smaller than the sum of its proper divisors (1885366896).

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

669636240 is a wasteful number, since it uses less digits than its factorization.

669636240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30697 (or 30691 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 42.

The square root of 669636240 is about 25877.3306196756. The cubic root of 669636240 is about 874.8756242264.

The spelling of 669636240 in words is "six hundred sixty-nine million, six hundred thirty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 30 35 39 40 42 48 52 56 60 65 70 78 80 84 91 104 105 112 120 130 140 156 168 182 195 208 210 240 260 273 280 312 336 364 390 420 455 520 546 560 624 728 780 840 910 1040 1092 1365 1456 1560 1680 1820 2184 2730 3120 3640 4368 5460 7280 10920 21840 30661 61322 91983 122644 153305 183966 214627 245288 306610 367932 398593 429254 459915 490576 613220 643881 735864 797186 858508 919830 1073135 1195779 1226440 1287762 1471728 1594372 1717016 1839660 1992965 2146270 2391558 2452880 2575524 2790151 3188744 3219405 3434032 3679320 3985930 4292540 4783116 5151048 5580302 5978895 6377488 6438810 7358640 7971860 8370453 8585080 9566232 10302096 11160604 11957790 12877620 13950755 15943720 16740906 17170160 19132464 22321208 23915580 25755240 27901510 31887440 33481812 41852265 44642416 47831160 51510480 55803020 66963624 83704530 95662320 111606040 133927248 167409060 223212080 334818120 669636240