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1013472 = 25341723
BaseRepresentation
bin11110111011011100000
31220111020000
43313123200
5224412342
633420000
711420505
oct3673340
91814200
101013472
11632489
1240a600
132963b5
141c54ac
1515044c
hexf76e0

1013472 has 120 divisors (see below), whose sum is σ = 3293136. Its totient is φ = 304128.

The previous prime is 1013471. The next prime is 1013477. The reversal of 1013472 is 2743101.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013471) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 44053 + ... + 44075.

21013472 is an apocalyptic number.

1013472 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 1013472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1646568).

1013472 is an abundant number, since it is smaller than the sum of its proper divisors (2279664).

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

1013472 is a wasteful number, since it uses less digits than its factorization.

1013472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 1013472 is about 1006.7134646959. The cubic root of 1013472 is about 100.4470650169.

Adding to 1013472 its reverse (2743101), we get a palindrome (3756573).

It can be divided in two parts, 1013 and 472, that added together give a triangular number (1485 = T54).

The spelling of 1013472 in words is "one million, thirteen thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 23 24 27 32 34 36 46 48 51 54 68 69 72 81 92 96 102 108 136 138 144 153 162 184 204 207 216 272 276 288 306 324 368 391 408 414 432 459 544 552 612 621 648 736 782 816 828 864 918 1104 1173 1224 1242 1296 1377 1564 1632 1656 1836 1863 2208 2346 2448 2484 2592 2754 3128 3312 3519 3672 3726 4692 4896 4968 5508 6256 6624 7038 7344 7452 9384 9936 10557 11016 12512 14076 14688 14904 18768 19872 21114 22032 28152 29808 31671 37536 42228 44064 56304 59616 63342 84456 112608 126684 168912 253368 337824 506736 1013472