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1454660920 = 235375091931
BaseRepresentation
bin101011010110100…
…0101110100111000
310202101012102122101
41112231011310320
510434343122140
6400202233144
751022261636
oct12655056470
93671172571
101454660920
11687133309
123471b57b4
131a24a950b
14db2a0356
1587a9099a
hex56b45d38

1454660920 has 64 divisors (see below), whose sum is σ = 3369794400. Its totient is φ = 564733440.

The previous prime is 1454660903. The next prime is 1454660923. The reversal of 1454660920 is 290664541.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 1454660920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1454660923) 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, 752355 + ... + 754285.

Almost surely, 21454660920 is an apocalyptic number.

1454660920 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 1454660920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1684897200).

1454660920 is an abundant number, since it is smaller than the sum of its proper divisors (1915133480).

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

1454660920 is a wasteful number, since it uses less digits than its factorization.

1454660920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2488 (or 2484 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 1454660920 is about 38140.0173046631. The cubic root of 1454660920 is about 1133.0626500808.

It can be divided in two parts, 14546 and 60920, that added together give a triangular number (75466 = T388).

The spelling of 1454660920 in words is "one billion, four hundred fifty-four million, six hundred sixty thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 509 740 1018 1480 1931 2036 2545 3862 4072 5090 7724 9655 10180 15448 18833 19310 20360 37666 38620 71447 75332 77240 94165 142894 150664 188330 285788 357235 376660 571576 714470 753320 982879 1428940 1965758 2857880 3931516 4914395 7863032 9828790 19657580 36366523 39315160 72733046 145466092 181832615 290932184 363665230 727330460 1454660920