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98126040 = 233517103467
BaseRepresentation
bin1011101100101…
…00100011011000
320211122022121210
411312110203120
5200110013130
613423103120
72301025515
oct566244330
9224568553
1098126040
1150431601
1228a41aa0
131743885c
14d06430c
1589345b0
hex5d948d8

98126040 has 128 divisors (see below), whose sum is σ = 315394560. Its totient is φ = 24336384.

The previous prime is 98126033. The next prime is 98126069. The reversal of 98126040 is 4062189.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 98125989 and 98126007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 209887 + ... + 210353.

It is an arithmetic number, because the mean of its divisors is an integer number (2464020).

Almost surely, 298126040 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 98126040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157697280).

98126040 is an abundant number, since it is smaller than the sum of its proper divisors (217268520).

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

98126040 is a wasteful number, since it uses less digits than its factorization.

98126040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 98126040 is about 9905.8588724048. The cubic root of 98126040 is about 461.2411973849.

The spelling of 98126040 in words is "ninety-eight million, one hundred twenty-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 103 120 136 170 204 206 255 309 340 408 412 467 510 515 618 680 824 934 1020 1030 1236 1401 1545 1751 1868 2040 2060 2335 2472 2802 3090 3502 3736 4120 4670 5253 5604 6180 7004 7005 7939 8755 9340 10506 11208 12360 14008 14010 15878 17510 18680 21012 23817 26265 28020 31756 35020 39695 42024 47634 48101 52530 56040 63512 70040 79390 95268 96202 105060 119085 144303 158780 190536 192404 210120 238170 240505 288606 317560 384808 476340 481010 577212 721515 817717 952680 962020 1154424 1443030 1635434 1924040 2453151 2886060 3270868 4088585 4906302 5772120 6541736 8177170 9812604 12265755 16354340 19625208 24531510 32708680 49063020 98126040