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1380672 = 26331747
BaseRepresentation
bin101010001000101000000
32121010221000
411101011000
5323140142
645332000
714510166
oct5210500
92533830
101380672
11863357
12567000
13394587
1427d236
151c414c
hex151140

1380672 has 112 divisors (see below), whose sum is σ = 4389120. Its totient is φ = 423936.

The previous prime is 1380671. The next prime is 1380677. The reversal of 1380672 is 2760831.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1380671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29353 + ... + 29399.

21380672 is an apocalyptic number.

1380672 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 1380672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2194560).

1380672 is an abundant number, since it is smaller than the sum of its proper divisors (3008448).

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

1380672 is a wasteful number, since it uses less digits than its factorization.

1380672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1380672 is about 1175.0199998298. The cubic root of 1380672 is about 111.3516967650.

The spelling of 1380672 in words is "one million, three hundred eighty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 47 48 51 54 64 68 72 94 96 102 108 136 141 144 153 188 192 204 216 272 282 288 306 376 408 423 432 459 544 564 576 612 752 799 816 846 864 918 1088 1128 1224 1269 1504 1598 1632 1692 1728 1836 2256 2397 2448 2538 3008 3196 3264 3384 3672 4512 4794 4896 5076 6392 6768 7191 7344 9024 9588 9792 10152 12784 13536 14382 14688 19176 20304 21573 25568 27072 28764 29376 38352 40608 43146 51136 57528 76704 81216 86292 115056 153408 172584 230112 345168 460224 690336 1380672