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1013540472 = 233372272953
BaseRepresentation
bin111100011010010…
…110011001111000
32121122011012011000
4330122112121320
54033431243342
6244323405000
734054644330
oct7432263170
92548135130
101013540472
11480131a5a
12243523760
13131c9b3b9
14988740c0
155dea844c
hex3c696678

1013540472 has 128 divisors (see below), whose sum is σ = 3232857600. Its totient is φ = 288209664.

The previous prime is 1013540461. The next prime is 1013540509. The reversal of 1013540472 is 2740453101.

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, 341748 + ... + 344700.

It is an arithmetic number, because the mean of its divisors is an integer number (25256700).

Almost surely, 21013540472 is an apocalyptic number.

1013540472 is a gapful number since it is divisible by the number (12) 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 1013540472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1616428800).

1013540472 is an abundant number, since it is smaller than the sum of its proper divisors (2219317128).

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

1013540472 is a wasteful number, since it uses less digits than its factorization.

1013540472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3202 (or 3192 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 1013540472 is about 31836.1503954231. The cubic root of 1013540472 is about 1004.4932709440.

Adding to 1013540472 its reverse (2740453101), we get a palindrome (3753993573).

The spelling of 1013540472 in words is "one billion, thirteen million, five hundred forty thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 227 252 378 454 504 681 756 908 1362 1512 1589 1816 2043 2724 2953 3178 4086 4767 5448 5906 6129 6356 8172 8859 9534 11812 12258 12712 14301 16344 17718 19068 20671 23624 24516 26577 28602 35436 38136 41342 42903 49032 53154 57204 62013 70872 79731 82684 85806 106308 114408 124026 159462 165368 171612 186039 212616 248052 318924 343224 372078 496104 558117 637848 670331 744156 1116234 1340662 1488312 2010993 2232468 2681324 4021986 4464936 4692317 5362648 6032979 8043972 9384634 12065958 14076951 16087944 18098937 18769268 24131916 28153902 36197874 37538536 42230853 48263832 56307804 72395748 84461706 112615608 126692559 144791496 168923412 253385118 337846824 506770236 1013540472