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422061360 = 24357298663
BaseRepresentation
bin11001001010000…
…010010100110000
31002102011221100020
4121022002110300
51331021430420
6105514123440
713313314410
oct3112022460
91072157306
10422061360
111a7273a46
12b9420580
1369597066
14400a8640
15270c0340
hex19282530

422061360 has 160 divisors (see below), whose sum is σ = 1547043840. Its totient is φ = 93133824.

The previous prime is 422061323. The next prime is 422061361. The reversal of 422061360 is 63160224.

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 422061360.

It is not an unprimeable number, because it can be changed into a prime (422061361) 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, 44389 + ... + 53051.

It is an arithmetic number, because the mean of its divisors is an integer number (9669024).

Almost surely, 2422061360 is an apocalyptic number.

422061360 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 422061360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773521920).

422061360 is an abundant number, since it is smaller than the sum of its proper divisors (1124982480).

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

422061360 is a wasteful number, since it uses less digits than its factorization.

422061360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8715 (or 8709 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 422061360 is about 20544.1320089217. The cubic root of 422061360 is about 750.1104192982.

The spelling of 422061360 in words is "four hundred twenty-two million, sixty-one thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 29 30 35 40 42 48 56 58 60 70 80 84 87 105 112 116 120 140 145 168 174 203 210 232 240 280 290 336 348 406 420 435 464 560 580 609 696 812 840 870 1015 1160 1218 1392 1624 1680 1740 2030 2320 2436 3045 3248 3480 4060 4872 6090 6960 8120 8663 9744 12180 16240 17326 24360 25989 34652 43315 48720 51978 60641 69304 86630 103956 121282 129945 138608 173260 181923 207912 242564 251227 259890 303205 346520 363846 415824 485128 502454 519780 606410 693040 727692 753681 909615 970256 1004908 1039560 1212820 1256135 1455384 1507362 1758589 1819230 2009816 2079120 2425640 2512270 2910768 3014724 3517178 3638460 3768405 4019632 4851280 5024540 5275767 6029448 7034356 7276920 7536810 8792945 10049080 10551534 12058896 14068712 14553840 15073620 17585890 20098160 21103068 26378835 28137424 30147240 35171780 42206136 52757670 60294480 70343560 84412272 105515340 140687120 211030680 422061360