Search a number
-
+
1261014420 = 2235196191787
BaseRepresentation
bin100101100101001…
…1000110110010100
310020212211011120210
41023022120312110
510040304430140
6325043525420
743151305611
oct11312306624
93225734523
101261014420
1159789a886
122b2389870
131713380a3
14bd693508
1575a8dd80
hex4b298d94

1261014420 has 96 divisors (see below), whose sum is σ = 3724761600. Its totient is φ = 317879424.

The previous prime is 1261014413. The next prime is 1261014449. The reversal of 1261014420 is 244101621.

It is a happy number.

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, 704767 + ... + 706553.

It is an arithmetic number, because the mean of its divisors is an integer number (38799600).

Almost surely, 21261014420 is an apocalyptic number.

1261014420 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 1261014420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1862380800).

1261014420 is an abundant number, since it is smaller than the sum of its proper divisors (2463747180).

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

1261014420 is a wasteful number, since it uses less digits than its factorization.

1261014420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2437 (or 2435 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 1261014420 is about 35510.7648467334. The cubic root of 1261014420 is about 1080.3720768744.

The spelling of 1261014420 in words is "one billion, two hundred sixty-one million, fourteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 619 1140 1238 1787 1857 2476 3095 3574 3714 5361 6190 7148 7428 8935 9285 10722 11761 12380 17870 18570 21444 23522 26805 33953 35283 35740 37140 47044 53610 58805 67906 70566 101859 107220 117610 135812 141132 169765 176415 203718 235220 339530 352830 407436 509295 679060 705660 1018590 1106153 2037180 2212306 3318459 4424612 5530765 6636918 11061530 13273836 16592295 21016907 22123060 33184590 42033814 63050721 66369180 84067628 105084535 126101442 210169070 252202884 315253605 420338140 630507210 1261014420