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81300312 = 233261107173
BaseRepresentation
bin1001101100010…
…00101101011000
312122222111001200
410312020231120
5131303102222
612022314200
72005020102
oct466105530
9178874050
1081300312
114198a145
1223288960
1313ac71c2
14ab24572
15720deac
hex4d88b58

81300312 has 96 divisors (see below), whose sum is σ = 227195280. Its totient is φ = 26254080.

The previous prime is 81300301. The next prime is 81300337. The reversal of 81300312 is 21300318.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 469858 + ... + 470030.

Almost surely, 281300312 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 81300312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113597640).

81300312 is an abundant number, since it is smaller than the sum of its proper divisors (145894968).

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

81300312 is a wasteful number, since it uses less digits than its factorization.

81300312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 81300312 is about 9016.6685643867. The cubic root of 81300312 is about 433.2089336535.

The spelling of 81300312 in words is "eighty-one million, three hundred thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 61 72 107 122 173 183 214 244 321 346 366 428 488 519 549 642 692 732 856 963 1038 1098 1284 1384 1464 1557 1926 2076 2196 2568 3114 3852 4152 4392 6228 6527 7704 10553 12456 13054 18511 19581 21106 26108 31659 37022 39162 42212 52216 55533 58743 63318 74044 78324 84424 94977 111066 117486 126636 148088 156648 166599 189954 222132 234972 253272 333198 379908 444264 469944 666396 759816 1129171 1332792 2258342 3387513 4516684 6775026 9033368 10162539 13550052 20325078 27100104 40650156 81300312