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642501340 = 2251319831567
BaseRepresentation
bin100110010010111…
…100101011011100
31122202222110010221
4212102330223130
52303440020330
6143431011124
721631112515
oct4622745334
91582873127
10642501340
112aa747848
1215b209aa4
13a3159b10
146148ba0c
153b615b7a
hex264bcadc

642501340 has 96 divisors (see below), whose sum is σ = 1548933120. Its totient is φ = 221895936.

The previous prime is 642501329. The next prime is 642501341. The reversal of 642501340 is 43105246.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642501341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 409237 + ... + 410803.

It is an arithmetic number, because the mean of its divisors is an integer number (16134720).

Almost surely, 2642501340 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 642501340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774466560).

642501340 is an abundant number, since it is smaller than the sum of its proper divisors (906431780).

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

642501340 is a wasteful number, since it uses less digits than its factorization.

642501340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1691 (or 1689 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 642501340 is about 25347.6101437591. The cubic root of 642501340 is about 862.8951193915.

Adding to 642501340 its reverse (43105246), we get a palindrome (685606586).

The spelling of 642501340 in words is "six hundred forty-two million, five hundred one thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 19 20 26 38 52 65 76 83 95 130 166 190 247 260 332 380 415 494 830 988 1079 1235 1567 1577 1660 2158 2470 3134 3154 4316 4940 5395 6268 6308 7835 7885 10790 15670 15770 20371 20501 21580 29773 31340 31540 40742 41002 59546 81484 82004 101855 102505 119092 130061 148865 203710 205010 260122 297730 387049 407420 410020 520244 595460 650305 774098 1300610 1548196 1690793 1935245 2471159 2601220 3381586 3870490 4942318 6763172 7740980 8453965 9884636 12355795 16907930 24711590 32125067 33815860 49423180 64250134 128500268 160625335 321250670 642501340