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1418747920 = 245176591583
BaseRepresentation
bin101010010010000…
…0110000000010000
310122212121212021021
41110210012000100
510401144413140
6352440405224
750105105212
oct12444060020
93585555237
101418747920
11668934347
12337176814
13197c14015
14d65d25b2
1584849b4a
hex54906010

1418747920 has 80 divisors (see below), whose sum is σ = 3500133120. Its totient is φ = 532969472.

The previous prime is 1418747873. The next prime is 1418747921. The reversal of 1418747920 is 297478141.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (1418747921) 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, 895449 + ... + 897031.

It is an arithmetic number, because the mean of its divisors is an integer number (43751664).

Almost surely, 21418747920 is an apocalyptic number.

1418747920 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 1418747920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1750066560).

1418747920 is an abundant number, since it is smaller than the sum of its proper divisors (2081385200).

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

1418747920 is a wasteful number, since it uses less digits than its factorization.

1418747920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2272 (or 2266 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 43.

The square root of 1418747920 is about 37666.2703223985. The cubic root of 1418747920 is about 1123.6604091402.

The spelling of 1418747920 in words is "one billion, four hundred eighteen million, seven hundred forty-seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 659 680 1318 1360 1583 2636 3166 3295 5272 6332 6590 7915 10544 11203 12664 13180 15830 22406 25328 26360 26911 31660 44812 52720 53822 56015 63320 89624 107644 112030 126640 134555 179248 215288 224060 269110 430576 448120 538220 896240 1043197 1076440 2086394 2152880 4172788 5215985 8345576 10431970 16691152 17734349 20863940 35468698 41727880 70937396 83455760 88671745 141874792 177343490 283749584 354686980 709373960 1418747920