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642704100 = 223524195113
BaseRepresentation
bin100110010011101…
…110001011100100
31122210100202021120
4212103232023210
52304013012400
6143435213540
721632615613
oct4623561344
91583322246
10642704100
112aa876115
1215b2a72b0
13a31cb1ac
146150187a
153b655ca0
hex264ee2e4

642704100 has 72 divisors (see below), whose sum is σ = 1864359840. Its totient is φ = 170945280.

The previous prime is 642704093. The next prime is 642704137. The reversal of 642704100 is 1407246.

642704100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123144 + ... + 128256.

Almost surely, 2642704100 is an apocalyptic number.

642704100 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642704100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (932179920).

642704100 is an abundant number, since it is smaller than the sum of its proper divisors (1221655740).

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

642704100 is a wasteful number, since it uses less digits than its factorization.

642704100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5549 (or 5542 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 642704100 is about 25351.6094163664. The cubic root of 642704100 is about 862.9858804022.

The spelling of 642704100 in words is "six hundred forty-two million, seven hundred four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 419 838 1257 1676 2095 2514 4190 5028 5113 6285 8380 10226 10475 12570 15339 20452 20950 25140 25565 30678 31425 41900 51130 61356 62850 76695 102260 125700 127825 153390 255650 306780 383475 511300 766950 1533900 2142347 4284694 6427041 8569388 10711735 12854082 21423470 25708164 32135205 42846940 53558675 64270410 107117350 128540820 160676025 214234700 321352050 642704100