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720421968 = 243737167347
BaseRepresentation
bin101010111100001…
…100010001010000
31212012121020011010
4222330030101100
52433412000333
6155253050520
723565325410
oct5274142120
91765536133
10720421968
1133a728762
12181326a40
13b633c8b6
146b972640
15433a8563
hex2af0c450

720421968 has 160 divisors (see below), whose sum is σ = 2203858944. Its totient is φ = 198498816.

The previous prime is 720421967. The next prime is 720421979. The reversal of 720421968 is 869124027.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (720421967) 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, 2075971 + ... + 2076317.

Almost surely, 2720421968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 720421968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1101929472).

720421968 is an abundant number, since it is smaller than the sum of its proper divisors (1483436976).

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

720421968 is a wasteful number, since it uses less digits than its factorization.

720421968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 720421968 is about 26840.6774877237. The cubic root of 720421968 is about 896.4560085799.

The spelling of 720421968 in words is "seven hundred twenty million, four hundred twenty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 37 42 48 56 74 84 111 112 148 167 168 222 259 296 334 336 347 444 501 518 592 668 694 777 888 1002 1036 1041 1169 1336 1388 1554 1776 2004 2072 2082 2338 2429 2672 2776 3108 3507 4008 4144 4164 4676 4858 5552 6179 6216 7014 7287 8016 8328 9352 9716 12358 12432 12839 14028 14574 16656 18537 18704 19432 24716 25678 28056 29148 37074 38517 38864 43253 49432 51356 56112 57949 58296 74148 77034 86506 89873 98864 102712 115898 116592 129759 148296 154068 173012 173847 179746 205424 231796 259518 269619 296592 308136 346024 347694 359492 405643 463592 519036 539238 616272 692048 695388 718984 811286 927184 1038072 1078476 1216929 1390776 1437968 1622572 2076144 2144113 2156952 2433858 2781552 3245144 4288226 4313904 4867716 6432339 6490288 8576452 9735432 12864678 15008791 17152904 19470864 25729356 30017582 34305808 45026373 51458712 60035164 90052746 102917424 120070328 180105492 240140656 360210984 720421968