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2014897520 = 245232471013
BaseRepresentation
bin111100000011000…
…1110010101110000
312012102101101210002
41320012032111300
513111303210040
6531534125132
7100634226536
oct17006162560
95172341702
102014897520
119443a2369
124829507a8
1326159216c
14151856156
15bbd56a15
hex7818e570

2014897520 has 120 divisors (see below), whose sum is σ = 5006304576. Its totient is φ = 753769984.

The previous prime is 2014897513. The next prime is 2014897523. The reversal of 2014897520 is 257984102.

It is a super-2 number, since 2×20148975202 = 8119624032204300800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2014897523) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1988534 + ... + 1989546.

Almost surely, 22014897520 is an apocalyptic number.

2014897520 is a gapful number since it is divisible by the number (20) 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 2014897520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2503152288).

2014897520 is an abundant number, since it is smaller than the sum of its proper divisors (2991407056).

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

2014897520 is a wasteful number, since it uses less digits than its factorization.

2014897520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1119 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The square root of 2014897520 is about 44887.6098717675. The cubic root of 2014897520 is about 1263.0415977750.

The spelling of 2014897520 in words is "two billion, fourteen million, eight hundred ninety-seven thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 47 80 92 94 115 184 188 230 235 368 376 460 470 529 752 920 940 1013 1058 1081 1840 1880 2026 2116 2162 2645 3760 4052 4232 4324 5065 5290 5405 8104 8464 8648 10130 10580 10810 16208 17296 20260 21160 21620 23299 24863 40520 42320 43240 46598 47611 49726 81040 86480 93196 95222 99452 116495 124315 186392 190444 198904 232990 238055 248630 372784 380888 397808 465980 476110 497260 535877 761776 931960 952220 994520 1071754 1095053 1863920 1904440 1989040 2143508 2190106 2679385 3808880 4287016 4380212 5358770 5475265 8574032 8760424 10717540 10950530 17520848 21435080 21901060 25186219 42870160 43802120 50372438 87604240 100744876 125931095 201489752 251862190 402979504 503724380 1007448760 2014897520