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42867360 = 253359923
BaseRepresentation
bin1010001110000…
…1101010100000
32222122212222000
42203201222200
541433223420
64130444000
71030236504
oct243415240
988585860
1042867360
1122219978
1212433600
138b5ba03
14599c304
153b6b690
hex28e1aa0

42867360 has 96 divisors (see below), whose sum is σ = 150050880. Its totient is φ = 11430144.

The previous prime is 42867347. The next prime is 42867367. The reversal of 42867360 is 6376824.

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

It is a super-2 number, since 2×428673602 = 3675221106739200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (42867367) 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, 642 + ... + 9281.

It is an arithmetic number, because the mean of its divisors is an integer number (1563030).

Almost surely, 242867360 is an apocalyptic number.

42867360 is a gapful number since it is divisible by the number (40) 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 42867360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75025440).

42867360 is an abundant number, since it is smaller than the sum of its proper divisors (107183520).

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

42867360 is a wasteful number, since it uses less digits than its factorization.

42867360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9947 (or 9933 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 42867360 is about 6547.3170077521. The cubic root of 42867360 is about 349.9792096494.

The spelling of 42867360 in words is "forty-two million, eight hundred sixty-seven thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 9923 19846 29769 39692 49615 59538 79384 89307 99230 119076 148845 158768 178614 198460 238152 267921 297690 317536 357228 396920 446535 476304 535842 595380 714456 793840 893070 952608 1071684 1190760 1339605 1428912 1587680 1786140 2143368 2381520 2679210 2857824 3572280 4286736 4763040 5358420 7144560 8573472 10716840 14289120 21433680 42867360