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98070912 = 27361051
BaseRepresentation
bin1011101100001…
…11000110000000
320211112112000000
411312013012000
5200101232122
613422000000
72300406012
oct566070600
9224475000
1098070912
11503a4145
1228a16000
1317419734
14d04c1b2
1589230ac
hex5d87180

98070912 has 112 divisors (see below), whose sum is σ = 293208180. Its totient is φ = 32659200.

The previous prime is 98070911. The next prime is 98070937. The reversal of 98070912 is 21907089.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98070911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 92787 + ... + 93837.

Almost surely, 298070912 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 98070912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146604090).

98070912 is an abundant number, since it is smaller than the sum of its proper divisors (195137268).

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

98070912 is an equidigital number, since it uses as much as digits as its factorization.

98070912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 98070912 is about 9903.0758858044. The cubic root of 98070912 is about 461.1548048637.

The spelling of 98070912 in words is "ninety-eight million, seventy thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 729 864 972 1051 1152 1296 1458 1728 1944 2102 2592 2916 3153 3456 3888 4204 5184 5832 6306 7776 8408 9459 10368 11664 12612 15552 16816 18918 23328 25224 28377 31104 33632 37836 46656 50448 56754 67264 75672 85131 93312 100896 113508 134528 151344 170262 201792 227016 255393 302688 340524 403584 454032 510786 605376 681048 766179 908064 1021572 1210752 1362096 1532358 1816128 2043144 2724192 3064716 3632256 4086288 5448384 6129432 8172576 10896768 12258864 16345152 24517728 32690304 49035456 98070912