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1013241460 = 225711739013
BaseRepresentation
bin111100011001001…
…101011001110100
32121121120222222111
4330121031121310
54033342211320
6244313140404
734052260510
oct7431153164
92547528874
101013241460
1147aa48340
122433ba704
13131bc527a
14987d7140
155de49a5a
hex3c64d674

1013241460 has 96 divisors (see below), whose sum is σ = 2689489152. Its totient is φ = 311454720.

The previous prime is 1013241431. The next prime is 1013241461. The reversal of 1013241460 is 641423101.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013241461) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107914 + ... + 116926.

It is an arithmetic number, because the mean of its divisors is an integer number (28015512).

Almost surely, 21013241460 is an apocalyptic number.

1013241460 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 1013241460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344744576).

1013241460 is an abundant number, since it is smaller than the sum of its proper divisors (1676247692).

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

1013241460 is a wasteful number, since it uses less digits than its factorization.

1013241460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9113 (or 9111 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 1013241460 is about 31831.4539410313. The cubic root of 1013241460 is about 1004.3944802553.

Adding to 1013241460 its reverse (641423101), we get a palindrome (1654664561).

The spelling of 1013241460 in words is "one billion, thirteen million, two hundred forty-one thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 73 77 110 140 146 154 220 292 308 365 385 511 730 770 803 1022 1460 1540 1606 2044 2555 3212 4015 5110 5621 8030 9013 10220 11242 16060 18026 22484 28105 36052 45065 56210 63091 90130 99143 112420 126182 180260 198286 252364 315455 396572 495715 630910 657949 694001 991430 1261820 1315898 1388002 1982860 2631796 2776004 3289745 3470005 4605643 6579490 6940010 7237439 9211286 13158980 13880020 14474878 18422572 23028215 28949756 36187195 46056430 50662073 72374390 92112860 101324146 144748780 202648292 253310365 506620730 1013241460