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98390016 = 2123217157
BaseRepresentation
bin1011101110101…
…01000000000000
320212010201201200
411313111000000
5200141440031
613432501200
72303205234
oct567250000
9225121650
1098390016
11505a196a
1228b4a800
13174cba5a
14d0d25c4
1589878e6
hex5dd5000

98390016 has 156 divisors (see below), whose sum is σ = 302837652. Its totient is φ = 30670848.

The previous prime is 98390009. The next prime is 98390023. The reversal of 98390016 is 61009389.

It is an interprime number because it is at equal distance from previous prime (98390009) and next prime (98390023).

It can be written as a sum of positive squares in 2 ways, for example, as 53231616 + 45158400 = 7296^2 + 6720^2 .

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 11 ways as a sum of consecutive naturals, for example, 626610 + ... + 626766.

It is an arithmetic number, because the mean of its divisors is an integer number (1941267).

Almost surely, 298390016 is an apocalyptic number.

98390016 is a gapful number since it is divisible by the number (96) 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 98390016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151418826).

98390016 is an abundant number, since it is smaller than the sum of its proper divisors (204447636).

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

98390016 is a wasteful number, since it uses less digits than its factorization.

98390016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 98390016 is about 9919.1741591727. The cubic root of 98390016 is about 461.6544332161.

The spelling of 98390016 in words is "ninety-eight million, three hundred ninety thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 157 192 204 256 272 288 306 314 384 408 471 512 544 576 612 628 768 816 942 1024 1088 1152 1224 1256 1413 1536 1632 1884 2048 2176 2304 2448 2512 2669 2826 3072 3264 3768 4096 4352 4608 4896 5024 5338 5652 6144 6528 7536 8007 8704 9216 9792 10048 10676 11304 12288 13056 15072 16014 17408 18432 19584 20096 21352 22608 24021 26112 30144 32028 34816 36864 39168 40192 42704 45216 48042 52224 60288 64056 69632 78336 80384 85408 90432 96084 104448 120576 128112 156672 160768 170816 180864 192168 208896 241152 256224 313344 321536 341632 361728 384336 482304 512448 626688 643072 683264 723456 768672 964608 1024896 1366528 1446912 1537344 1929216 2049792 2733056 2893824 3074688 4099584 5466112 5787648 6149376 8199168 10932224 12298752 16398336 24597504 32796672 49195008 98390016