Search a number
-
+
690462144 = 26374933
BaseRepresentation
bin101001001001111…
…001110111000000
31210010020010000000
4221021321313000
52403224242034
6152303000000
723052555111
oct5111716700
91703203000
10690462144
11324825479
12173299000
13b007cca8
14679b4208
154093b599
hex29279dc0

690462144 has 112 divisors (see below), whose sum is σ = 2055307040. Its totient is φ = 230107392.

The previous prime is 690462127. The next prime is 690462151. The reversal of 690462144 is 441264096.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 690462099 and 690462108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137502 + ... + 142434.

Almost surely, 2690462144 is an apocalyptic number.

690462144 is a gapful number since it is divisible by the number (64) 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 690462144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1027653520).

690462144 is an abundant number, since it is smaller than the sum of its proper divisors (1364844896).

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

690462144 is an frugal number, since it uses more digits than its factorization.

690462144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4966 (or 4938 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 690462144 is about 26276.6463613605. The cubic root of 690462144 is about 883.8528313663.

The spelling of 690462144 in words is "six hundred ninety million, four hundred sixty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 729 864 972 1296 1458 1728 1944 2187 2592 2916 3888 4374 4933 5184 5832 7776 8748 9866 11664 14799 15552 17496 19732 23328 29598 34992 39464 44397 46656 59196 69984 78928 88794 118392 133191 139968 157856 177588 236784 266382 315712 355176 399573 473568 532764 710352 799146 947136 1065528 1198719 1420704 1598292 2131056 2397438 2841408 3196584 3596157 4262112 4794876 6393168 7192314 8524224 9589752 10788471 12786336 14384628 19179504 21576942 25572672 28769256 38359008 43153884 57538512 76718016 86307768 115077024 172615536 230154048 345231072 690462144