Search a number
-
+
100063704 = 233131372341
BaseRepresentation
bin1011111011011…
…01100111011000
320222021202121010
411331231213120
5201104014304
613532413520
72323345626
oct575554730
9228252533
10100063704
1151535384
12296172a0
13179667c0
14d40a516
158bb8789
hex5f6d9d8

100063704 has 64 divisors (see below), whose sum is σ = 271484640. Its totient is φ = 30551040.

The previous prime is 100063699. The next prime is 100063723. The reversal of 100063704 is 407360001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41574 + ... + 43914.

Almost surely, 2100063704 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 100063704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135742320).

100063704 is an abundant number, since it is smaller than the sum of its proper divisors (171420936).

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

100063704 is a wasteful number, since it uses less digits than its factorization.

100063704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2500 (or 2496 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 100063704 is about 10003.1846928866. The cubic root of 100063704 is about 464.2574250309.

The spelling of 100063704 in words is "one hundred million, sixty-three thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 137 156 274 312 411 548 822 1096 1644 1781 2341 3288 3562 4682 5343 7023 7124 9364 10686 14046 14248 18728 21372 28092 30433 42744 56184 60866 91299 121732 182598 243464 320717 365196 641434 730392 962151 1282868 1924302 2565736 3848604 4169321 7697208 8338642 12507963 16677284 25015926 33354568 50031852 100063704