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98329920 = 2635137879
BaseRepresentation
bin1011101110001…
…10010101000000
320212000200021220
411313012111000
5200133024140
613431315040
72302535103
oct567062500
9225020256
1098329920
11505607a7
1228b1ba80
13174aa5b0
14d0b873a
158974bd0
hex5dc6540

98329920 has 112 divisors (see below), whose sum is σ = 336255360. Its totient is φ = 24201216.

The previous prime is 98329919. The next prime is 98329927. The reversal of 98329920 is 2992389.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98329927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8541 + ... + 16419.

It is an arithmetic number, because the mean of its divisors is an integer number (3002280).

Almost surely, 298329920 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 98329920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168127680).

98329920 is an abundant number, since it is smaller than the sum of its proper divisors (237925440).

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

98329920 is a wasteful number, since it uses less digits than its factorization.

98329920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7912 (or 7902 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 98329920 is about 9916.1444120182. The cubic root of 98329920 is about 461.5604222029.

It can be divided in two parts, 983 and 29920, that added together give a palindrome (30903).

The spelling of 98329920 in words is "ninety-eight million, three hundred twenty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 130 156 160 192 195 208 240 260 312 320 390 416 480 520 624 780 832 960 1040 1248 1560 2080 2496 3120 4160 6240 7879 12480 15758 23637 31516 39395 47274 63032 78790 94548 102427 118185 126064 157580 189096 204854 236370 252128 307281 315160 378192 409708 472740 504256 512135 614562 630320 756384 819416 945480 1024270 1229124 1260640 1512768 1536405 1638832 1890960 2048540 2458248 2521280 3072810 3277664 3781920 4097080 4916496 6145620 6555328 7563840 8194160 9832992 12291240 16388320 19665984 24582480 32776640 49164960 98329920