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98095104 = 21233887
BaseRepresentation
bin1011101100011…
…01000000000000
320211120202012000
411312031000000
5200103020404
613422304000
72300536362
oct566150000
9224522160
1098095104
1150410338
1228a28000
1317427753
14d056d32
15892a339
hex5d8d000

98095104 has 104 divisors (see below), whose sum is σ = 290944320. Its totient is φ = 32661504.

The previous prime is 98095087. The next prime is 98095121. The reversal of 98095104 is 40159089.

It is an interprime number because it is at equal distance from previous prime (98095087) and next prime (98095121).

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 7 ways as a sum of consecutive naturals, for example, 110149 + ... + 111035.

Almost surely, 298095104 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 98095104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145472160).

98095104 is an abundant number, since it is smaller than the sum of its proper divisors (192849216).

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

98095104 is an equidigital number, since it uses as much as digits as its factorization.

98095104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 98095104 is about 9904.2972491742. The cubic root of 98095104 is about 461.1927207608.

The spelling of 98095104 in words is "ninety-eight million, ninety-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 887 1024 1152 1536 1728 1774 2048 2304 2661 3072 3456 3548 4096 4608 5322 6144 6912 7096 7983 9216 10644 12288 13824 14192 15966 18432 21288 23949 27648 28384 31932 36864 42576 47898 55296 56768 63864 85152 95796 110592 113536 127728 170304 191592 227072 255456 340608 383184 454144 510912 681216 766368 908288 1021824 1362432 1532736 1816576 2043648 2724864 3065472 3633152 4087296 5449728 6130944 8174592 10899456 12261888 16349184 24523776 32698368 49047552 98095104