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104033100 = 22352577601
BaseRepresentation
bin1100011001101…
…10101101001100
321020202102120210
412030312231030
5203113024400
614153442420
72402160333
oct614665514
9236672523
10104033100
11537a6676
122aa10410
1318726462
14db60d1a
1591ee950
hex6336b4c

104033100 has 72 divisors (see below), whose sum is σ = 302025808. Its totient is φ = 27648000.

The previous prime is 104033089. The next prime is 104033101. The reversal of 104033100 is 1330401.

104033100 is a nontrivial binomial coefficient, being equal to C(14425, 2).

It is a super-2 number, since 2×1040331002 = 21645771791220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (104033101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172800 + ... + 173400.

Almost surely, 2104033100 is an apocalyptic number.

104033100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

104033100 is the 14424-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104033100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151012904).

104033100 is an abundant number, since it is smaller than the sum of its proper divisors (197992708).

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

104033100 is a wasteful number, since it uses less digits than its factorization.

104033100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1195 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 104033100 is about 10199.6617590977. The cubic root of 104033100 is about 470.3168227510.

Adding to 104033100 its reverse (1330401), we get a palindrome (105363501).

The spelling of 104033100 in words is "one hundred four million, thirty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 577 601 1154 1202 1731 1803 2308 2404 2885 3005 3462 3606 5770 6010 6924 7212 8655 9015 11540 12020 14425 15025 17310 18030 28850 30050 34620 36060 43275 45075 57700 60100 86550 90150 173100 180300 346777 693554 1040331 1387108 1733885 2080662 3467770 4161324 5201655 6935540 8669425 10403310 17338850 20806620 26008275 34677700 52016550 104033100