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98420736 = 211383193
BaseRepresentation
bin1011101110111…
…00100000000000
320212012021212110
411313130200000
5200143430421
613433255320
72303363631
oct567344000
9225167773
1098420736
1150612a57
1228b64540
131750ca2b
14d0dd888
158991a76
hex5ddc800

98420736 has 96 divisors (see below), whose sum is σ = 266928480. Its totient is φ = 32243712.

The previous prime is 98420731. The next prime is 98420737. The reversal of 98420736 is 63702489.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 98420694 and 98420703.

It is not an unprimeable number, because it can be changed into a prime (98420731) 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 7 ways as a sum of consecutive naturals, for example, 509856 + ... + 510048.

It is an arithmetic number, because the mean of its divisors is an integer number (2780505).

Almost surely, 298420736 is an apocalyptic number.

98420736 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 98420736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133464240).

98420736 is an abundant number, since it is smaller than the sum of its proper divisors (168507744).

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

98420736 is a wasteful number, since it uses less digits than its factorization.

98420736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 98420736 is about 9920.7225543304. The cubic root of 98420736 is about 461.7024751788.

The spelling of 98420736 in words is "ninety-eight million, four hundred twenty thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 128 166 192 193 249 256 332 384 386 498 512 579 664 768 772 996 1024 1158 1328 1536 1544 1992 2048 2316 2656 3072 3088 3984 4632 5312 6144 6176 7968 9264 10624 12352 15936 16019 18528 21248 24704 31872 32038 37056 42496 48057 49408 63744 64076 74112 84992 96114 98816 127488 128152 148224 169984 192228 197632 254976 256304 296448 384456 395264 509952 512608 592896 768912 1025216 1185792 1537824 2050432 3075648 4100864 6151296 8201728 12302592 16403456 24605184 32806912 49210368 98420736