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918714420 = 2233513210067
BaseRepresentation
bin110110110000100…
…111100000110100
32101000201112021000
4312300213200310
53340142330140
6231055123300
731523641461
oct6660474064
92330645230
10918714420
11431654818
12217813530
13118449900
148a02c668
15559c6a30
hex36c27834

918714420 has 144 divisors (see below), whose sum is σ = 3095305920. Its totient is φ = 226122624.

The previous prime is 918714373. The next prime is 918714421. The reversal of 918714420 is 24417819.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (918714421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86227 + ... + 96293.

It is an arithmetic number, because the mean of its divisors is an integer number (21495180).

Almost surely, 2918714420 is an apocalyptic number.

918714420 is a gapful number since it is divisible by the number (90) 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 918714420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547652960).

918714420 is an abundant number, since it is smaller than the sum of its proper divisors (2176591500).

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

918714420 is a wasteful number, since it uses less digits than its factorization.

918714420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10111 (or 10090 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 918714420 is about 30310.3022089850. The cubic root of 918714420 is about 972.1355930334.

The spelling of 918714420 in words is "nine hundred eighteen million, seven hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 169 180 195 234 260 270 338 351 390 468 507 540 585 676 702 780 845 1014 1170 1404 1521 1690 1755 2028 2340 2535 3042 3380 3510 4563 5070 6084 7020 7605 9126 10067 10140 15210 18252 20134 22815 30201 30420 40268 45630 50335 60402 90603 91260 100670 120804 130871 151005 181206 201340 261742 271809 302010 362412 392613 453015 523484 543618 604020 654355 785226 906030 1087236 1177839 1308710 1359045 1570452 1701323 1812060 1963065 2355678 2617420 2718090 3402646 3533517 3926130 4711356 5103969 5436180 5889195 6805292 7067034 7852260 8506615 10207938 11778390 14134068 15311907 17013230 17667585 20415876 23556780 25519845 30623814 34026460 35335170 45935721 51039690 61247628 70670340 76559535 91871442 102079380 153119070 183742884 229678605 306238140 459357210 918714420