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98434920 = 23353147563
BaseRepresentation
bin1011101110111…
…11111101101000
320212020000022210
411313133331220
5200144404140
613433445120
72303453163
oct567377550
9225200283
1098434920
1150622681
1228b707a0
131751631c
14d104ada
158995d80
hex5ddff68

98434920 has 128 divisors (see below), whose sum is σ = 311869440. Its totient is φ = 24817920.

The previous prime is 98434909. The next prime is 98434933. The reversal of 98434920 is 2943489.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174559 + ... + 175121.

It is an arithmetic number, because the mean of its divisors is an integer number (2436480).

Almost surely, 298434920 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 98434920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155934720).

98434920 is an abundant number, since it is smaller than the sum of its proper divisors (213434520).

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

98434920 is a wasteful number, since it uses less digits than its factorization.

98434920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 98434920 is about 9921.4373958615. The cubic root of 98434920 is about 461.7246536804.

The spelling of 98434920 in words is "ninety-eight million, four hundred thirty-four thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 47 60 62 93 94 120 124 141 155 186 188 235 248 282 310 372 376 465 470 563 564 620 705 744 930 940 1126 1128 1240 1410 1457 1689 1860 1880 2252 2815 2820 2914 3378 3720 4371 4504 5630 5640 5828 6756 7285 8445 8742 11260 11656 13512 14570 16890 17453 17484 21855 22520 26461 29140 33780 34906 34968 43710 52359 52922 58280 67560 69812 79383 87265 87420 104718 105844 132305 139624 158766 174530 174840 209436 211688 261795 264610 317532 349060 396915 418872 523590 529220 635064 698120 793830 820291 1047180 1058440 1587660 1640582 2094360 2460873 3175320 3281164 4101455 4921746 6562328 8202910 9843492 12304365 16405820 19686984 24608730 32811640 49217460 98434920