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537355680 = 25351139907
BaseRepresentation
bin100000000001110…
…110010110100000
31101110010111102020
4200001312112200
52100030340210
6125153221440
716213306431
oct4001662640
91343114366
10537355680
11256361304
1212bb61880
1387434154
145151b488
1532296770
hex200765a0

537355680 has 96 divisors (see below), whose sum is σ = 1707822144. Its totient is φ = 142012416.

The previous prime is 537355667. The next prime is 537355691. The reversal of 537355680 is 86553735.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×5373556802 = 577502253656524800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49287 + ... + 59193.

It is an arithmetic number, because the mean of its divisors is an integer number (17789814).

Almost surely, 2537355680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 537355680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853911072).

537355680 is an abundant number, since it is smaller than the sum of its proper divisors (1170466464).

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

537355680 is a wasteful number, since it uses less digits than its factorization.

537355680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10038 (or 10030 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 42.

The square root of 537355680 is about 23180.9335446181. The cubic root of 537355680 is about 812.9938892288.

The spelling of 537355680 in words is "five hundred thirty-seven million, three hundred fifty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 113 120 160 226 240 339 452 480 565 678 904 1130 1356 1695 1808 2260 2712 3390 3616 4520 5424 6780 9040 9907 10848 13560 18080 19814 27120 29721 39628 49535 54240 59442 79256 99070 118884 148605 158512 198140 237768 297210 317024 396280 475536 594420 792560 951072 1119491 1188840 1585120 2238982 2377680 3358473 4477964 4755360 5597455 6716946 8955928 11194910 13433892 16792365 17911856 22389820 26867784 33584730 35823712 44779640 53735568 67169460 89559280 107471136 134338920 179118560 268677840 537355680