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10270615420 = 22513107369181
BaseRepresentation
bin10011001000010110…
…10010011101111100
3222111202222022200201
421210023102131330
5132013234143140
64415050533244
7512341535122
oct114413223574
928452868621
1010270615420
1143a054941a
121ba7737224
13c78a9a440
146d6087912
15401a1549a
hex2642d277c

10270615420 has 48 divisors (see below), whose sum is σ = 23444533728. Its totient is φ = 3756775680.

The previous prime is 10270615417. The next prime is 10270615429. The reversal of 10270615420 is 2451607201.

10270615420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×102706154202 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10270615429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156771 + ... + 212410.

It is an arithmetic number, because the mean of its divisors is an integer number (488427786).

Almost surely, 210270615420 is an apocalyptic number.

10270615420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10270615420 is an abundant number, since it is smaller than the sum of its proper divisors (13173918308).

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

10270615420 is a wasteful number, since it uses less digits than its factorization.

10270615420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369310 (or 369308 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The spelling of 10270615420 in words is "ten billion, two hundred seventy million, six hundred fifteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 107 130 214 260 428 535 1070 1391 2140 2782 5564 6955 13910 27820 369181 738362 1476724 1845905 3691810 4799353 7383620 9598706 19197412 23996765 39502367 47993530 79004734 95987060 158009468 197511835 395023670 513530771 790047340 1027061542 2054123084 2567653855 5135307710 10270615420