Search a number
-
+
1213998520 = 235724115107
BaseRepresentation
bin100100001011100…
…0010010110111000
310010121100111220011
41020113002112320
54441240423040
6320244111304
742040550200
oct11027022670
93117314804
101213998520
115732a8069
1229a695534
13164686027
14b7335400
15718a33ea
hex485c25b8

1213998520 has 96 divisors (see below), whose sum is σ = 3255169680. Its totient is φ = 406049280.

The previous prime is 1213998517. The next prime is 1213998523. The reversal of 1213998520 is 258993121.

It is an interprime number because it is at equal distance from previous prime (1213998517) and next prime (1213998523).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1213998523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72807 + ... + 87913.

Almost surely, 21213998520 is an apocalyptic number.

1213998520 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 1213998520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1627584840).

1213998520 is an abundant number, since it is smaller than the sum of its proper divisors (2041171160).

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

1213998520 is a wasteful number, since it uses less digits than its factorization.

1213998520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15173 (or 15162 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 40.

The square root of 1213998520 is about 34842.4815419338. The cubic root of 1213998520 is about 1066.7747290694.

The spelling of 1213998520 in words is "one billion, two hundred thirteen million, nine hundred ninety-eight thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 41 49 56 70 82 98 140 164 196 205 245 280 287 328 392 410 490 574 820 980 1148 1435 1640 1960 2009 2296 2870 4018 5740 8036 10045 11480 15107 16072 20090 30214 40180 60428 75535 80360 105749 120856 151070 211498 302140 422996 528745 604280 619387 740243 845992 1057490 1238774 1480486 2114980 2477548 2960972 3096935 3701215 4229960 4335709 4955096 5921944 6193870 7402430 8671418 12387740 14804860 17342836 21678545 24775480 29609720 30349963 34685672 43357090 60699926 86714180 121399852 151749815 173428360 242799704 303499630 606999260 1213998520