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10270434420 = 22335191001017
BaseRepresentation
bin10011001000010101…
…00110010001110100
3222111202122010102000
421210022212101310
5132013212400140
64415043015300
7512340152331
oct114412462164
928452563360
1010270434420
1143a0435434
121ba766a530
13c78a35c3c
146d603b988
154019cba30
hex2642a6474

10270434420 has 96 divisors (see below), whose sum is σ = 33634204800. Its totient is φ = 2594633472.

The previous prime is 10270434379. The next prime is 10270434463. The reversal of 10270434420 is 2443407201.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 490249 + ... + 510768.

It is an arithmetic number, because the mean of its divisors is an integer number (350356300).

Almost surely, 210270434420 is an apocalyptic number.

10270434420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10270434420 is an abundant number, since it is smaller than the sum of its proper divisors (23363770380).

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

10270434420 is a wasteful number, since it uses less digits than its factorization.

10270434420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001054 (or 1001046 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The spelling of 10270434420 in words is "ten billion, two hundred seventy million, four hundred thirty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 90 95 108 114 135 171 180 190 228 270 285 342 380 513 540 570 684 855 1026 1140 1710 2052 2565 3420 5130 10260 1001017 2002034 3003051 4004068 5005085 6006102 9009153 10010170 12012204 15015255 18018306 19019323 20020340 27027459 30030510 36036612 38038646 45045765 54054918 57057969 60061020 76077292 90091530 95096615 108109836 114115938 135137295 171173907 180183060 190193230 228231876 270274590 285289845 342347814 380386460 513521721 540549180 570579690 684695628 855869535 1027043442 1141159380 1711739070 2054086884 2567608605 3423478140 5135217210 10270434420