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180378036 = 223373137167
BaseRepresentation
bin10101100000001…
…01100110110100
3110120102011011000
422300011212310
5332134044121
625522043300
74320121326
oct1260054664
9416364130
10180378036
1192900763
12504a9530
132b4a6c87
1419d55616
1510c80526
hexac059b4

180378036 has 96 divisors (see below), whose sum is σ = 480372480. Its totient is φ = 58516992.

The previous prime is 180378019. The next prime is 180378043. The reversal of 180378036 is 630873081.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1080025 + ... + 1080191.

It is an arithmetic number, because the mean of its divisors is an integer number (5003880).

Almost surely, 2180378036 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 180378036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240186240).

180378036 is an abundant number, since it is smaller than the sum of its proper divisors (299994444).

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

180378036 is a wasteful number, since it uses less digits than its factorization.

180378036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 180378036 is about 13430.4890454518. The cubic root of 180378036 is about 565.0166137073.

The spelling of 180378036 in words is "one hundred eighty million, three hundred seventy-eight thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 73 108 137 146 167 219 274 292 334 411 438 501 548 657 668 822 876 1002 1233 1314 1503 1644 1971 2004 2466 2628 3006 3699 3942 4509 4932 6012 7398 7884 9018 10001 12191 14796 18036 20002 22879 24382 30003 36573 40004 45758 48764 60006 68637 73146 90009 91516 109719 120012 137274 146292 180018 205911 219438 270027 274548 329157 360036 411822 438876 540054 617733 658314 823644 1080108 1235466 1316628 1670167 2470932 3340334 5010501 6680668 10021002 15031503 20042004 30063006 45094509 60126012 90189018 180378036