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642115320 = 233571169493
BaseRepresentation
bin100110010001011…
…110011011111000
31122202020211121220
4212101132123320
52303340142240
6143414432040
721624614220
oct4621363370
91582224556
10642115320
112aa503820
1215b062620
13a30531c2
14613cb080
153b58b5d0
hex2645e6f8

642115320 has 128 divisors (see below), whose sum is σ = 2401712640. Its totient is φ = 133424640.

The previous prime is 642115319. The next prime is 642115321. The reversal of 642115320 is 23511246.

It is an interprime number because it is at equal distance from previous prime (642115319) and next prime (642115321).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642115321) 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, 25507 + ... + 43986.

It is an arithmetic number, because the mean of its divisors is an integer number (18763380).

Almost surely, 2642115320 is an apocalyptic number.

642115320 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

642115320 is an abundant number, since it is smaller than the sum of its proper divisors (1759597320).

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

642115320 is a wasteful number, since it uses less digits than its factorization.

642115320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69525 (or 69521 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 642115320 is about 25339.9944751375. The cubic root of 642115320 is about 862.7222733162.

Adding to 642115320 its reverse (23511246), we get a palindrome (665626566).

The spelling of 642115320 in words is "six hundred forty-two million, one hundred fifteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 20 21 22 24 28 30 33 35 40 42 44 55 56 60 66 70 77 84 88 105 110 120 132 140 154 165 168 210 220 231 264 280 308 330 385 420 440 462 616 660 770 840 924 1155 1320 1540 1848 2310 3080 4620 9240 69493 138986 208479 277972 347465 416958 486451 555944 694930 764423 833916 972902 1042395 1389860 1459353 1528846 1667832 1945804 2084790 2293269 2432255 2779720 2918706 3057692 3822115 3891608 4169580 4586538 4864510 5350961 5837412 6115384 7296765 7644230 8339160 9173076 9729020 10701922 11466345 11674824 14593530 15288460 16052883 18346152 19458040 21403844 22932690 26754805 29187060 30576920 32105766 42807688 45865380 53509610 58374120 64211532 80264415 91730760 107019220 128423064 160528830 214038440 321057660 642115320