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12733440 = 21035829
BaseRepresentation
bin110000100100…
…110000000000
3212221220222220
4300210300000
511224432230
61132531040
7213142506
oct60446000
925856886
1012733440
117207905
124320a80
13283aaa5
141996676
1511b7d10
hexc24c00

12733440 has 88 divisors (see below), whose sum is σ = 40776240. Its totient is φ = 3391488.

The previous prime is 12733433. The next prime is 12733447. The reversal of 12733440 is 4433721.

It is an interprime number because it is at equal distance from previous prime (12733433) and next prime (12733447).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12733440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12733447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14946 + ... + 15774.

Almost surely, 212733440 is an apocalyptic number.

12733440 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 12733440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20388120).

12733440 is an abundant number, since it is smaller than the sum of its proper divisors (28042800).

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

12733440 is an equidigital number, since it uses as much as digits as its factorization.

12733440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 12733440 is about 3568.3945970142. The cubic root of 12733440 is about 233.5152504227.

The spelling of 12733440 in words is "twelve million, seven hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 829 960 1024 1280 1536 1658 1920 2487 2560 3072 3316 3840 4145 4974 5120 6632 7680 8290 9948 12435 13264 15360 16580 19896 24870 26528 33160 39792 49740 53056 66320 79584 99480 106112 132640 159168 198960 212224 265280 318336 397920 424448 530560 636672 795840 848896 1061120 1273344 1591680 2122240 2546688 3183360 4244480 6366720 12733440