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1412564480 = 2952953359
BaseRepresentation
bin101010000110010…
…0000011000000000
310122102222201011222
41110030200120000
510343104030410
6352100054212
750001412535
oct12414403000
93572881158
101412564480
116653a0668
12335094368
1319685a692
14d5862d8c
1584027955
hex54320600

1412564480 has 160 divisors (see below), whose sum is σ = 3579681600. Its totient is φ = 533757952.

The previous prime is 1412564453. The next prime is 1412564563. The reversal of 1412564480 is 844652141.

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 1412564480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3934541 + ... + 3934899.

It is an arithmetic number, because the mean of its divisors is an integer number (22373010).

Almost surely, 21412564480 is an apocalyptic number.

1412564480 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 1412564480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1789840800).

1412564480 is an abundant number, since it is smaller than the sum of its proper divisors (2167117120).

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

1412564480 is an equidigital number, since it uses as much as digits as its factorization.

1412564480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 35.

The square root of 1412564480 is about 37584.0987653023. The cubic root of 1412564480 is about 1122.0255861002.

The spelling of 1412564480 in words is "one billion, four hundred twelve million, five hundred sixty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 53 58 64 80 106 116 128 145 160 212 232 256 265 290 320 359 424 464 512 530 580 640 718 848 928 1060 1160 1280 1436 1537 1696 1795 1856 2120 2320 2560 2872 3074 3392 3590 3712 4240 4640 5744 6148 6784 7180 7424 7685 8480 9280 10411 11488 12296 13568 14360 14848 15370 16960 18560 19027 20822 22976 24592 27136 28720 30740 33920 37120 38054 41644 45952 49184 52055 57440 61480 67840 74240 76108 83288 91904 95135 98368 104110 114880 122960 135680 152216 166576 183808 190270 196736 208220 229760 245920 304432 333152 380540 393472 416440 459520 491840 551783 608864 666304 761080 786944 832880 919040 983680 1103566 1217728 1332608 1522160 1665760 1967360 2207132 2435456 2665216 2758915 3044320 3331520 3934720 4414264 4870912 5330432 5517830 6088640 6663040 8828528 9741824 11035660 12177280 13326080 17657056 22071320 24354560 26652160 35314112 44142640 48709120 70628224 88285280 141256448 176570560 282512896 353141120 706282240 1412564480