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36238080 = 28359437
BaseRepresentation
bin1000101000111…
…1001100000000
32112012002022010
42022033030000
533234104310
63332412520
7620006244
oct212171400
975162263
1036238080
111950122a
1210177140
13767a468
144b54424
1532ac320
hex228f300

36238080 has 72 divisors (see below), whose sum is σ = 115747632. Its totient is φ = 9662464.

The previous prime is 36238079. The next prime is 36238109. The reversal of 36238080 is 8083263.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 879 + ... + 8558.

It is an arithmetic number, because the mean of its divisors is an integer number (1607606).

Almost surely, 236238080 is an apocalyptic number.

36238080 is a gapful number since it is divisible by the number (30) 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 36238080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57873816).

36238080 is an abundant number, since it is smaller than the sum of its proper divisors (79509552).

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

36238080 is an equidigital number, since it uses as much as digits as its factorization.

36238080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9461 (or 9447 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 36238080 is about 6019.8073058861. The cubic root of 36238080 is about 330.9190176806.

The spelling of 36238080 in words is "thirty-six million, two hundred thirty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 9437 18874 28311 37748 47185 56622 75496 94370 113244 141555 150992 188740 226488 283110 301984 377480 452976 566220 603968 754960 905952 1132440 1207936 1509920 1811904 2264880 2415872 3019840 3623808 4529760 6039680 7247616 9059520 12079360 18119040 36238080