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422520720 = 243517293571
BaseRepresentation
bin11001001011110…
…010011110010000
31002110001021110120
4121023302132100
51331131130340
6105532030240
713320236556
oct3113623620
91073037416
10422520720
111a7558086
12b9602380
13696c817b
1440187bd6
15271614d0
hex192f2790

422520720 has 160 divisors (see below), whose sum is σ = 1435086720. Its totient is φ = 102359040.

The previous prime is 422520701. The next prime is 422520739. The reversal of 422520720 is 27025224.

It is an interprime number because it is at equal distance from previous prime (422520701) and next prime (422520739).

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

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, 116535 + ... + 120105.

It is an arithmetic number, because the mean of its divisors is an integer number (8969292).

Almost surely, 2422520720 is an apocalyptic number.

422520720 is a gapful number since it is divisible by the number (40) 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 422520720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717543360).

422520720 is an abundant number, since it is smaller than the sum of its proper divisors (1012566000).

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

422520720 is a wasteful number, since it uses less digits than its factorization.

422520720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3633 (or 3627 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 24.

The square root of 422520720 is about 20555.3088033238. The cubic root of 422520720 is about 750.3824538278.

Adding to 422520720 its reverse (27025224), we get a palindrome (449545944).

The spelling of 422520720 in words is "four hundred twenty-two million, five hundred twenty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 29 30 34 40 48 51 58 60 68 80 85 87 102 116 120 136 145 170 174 204 232 240 255 272 290 340 348 408 435 464 493 510 580 680 696 816 870 986 1020 1160 1360 1392 1479 1740 1972 2040 2320 2465 2958 3480 3571 3944 4080 4930 5916 6960 7142 7395 7888 9860 10713 11832 14284 14790 17855 19720 21426 23664 28568 29580 35710 39440 42852 53565 57136 59160 60707 71420 85704 103559 107130 118320 121414 142840 171408 182121 207118 214260 242828 285680 303535 310677 364242 414236 428520 485656 517795 607070 621354 728484 828472 857040 910605 971312 1035590 1214140 1242708 1456968 1553385 1656944 1760503 1821210 2071180 2428280 2485416 2913936 3106770 3521006 3642420 4142360 4856560 4970832 5281509 6213540 7042012 7284840 8284720 8802515 10563018 12427080 14084024 14569680 17605030 21126036 24854160 26407545 28168048 35210060 42252072 52815090 70420120 84504144 105630180 140840240 211260360 422520720