Search a number
-
+
1490685200 = 245223311521
BaseRepresentation
bin101100011011010…
…0000110100010000
310211212222122122222
41120312200310100
511023103411300
6403530320212
751640420664
oct13066406420
93755878588
101490685200
116a54a8944
12357289068
131a9ab0564
14101d9a8a4
158ad09785
hex58da0d10

1490685200 has 120 divisors (see below), whose sum is σ = 3756295296. Its totient is φ = 567424000.

The previous prime is 1490685191. The next prime is 1490685221. The reversal of 1490685200 is 25860941.

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, 2860940 + ... + 2861460.

Almost surely, 21490685200 is an apocalyptic number.

1490685200 is a gapful number since it is divisible by the number (10) 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 1490685200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1878147648).

1490685200 is an abundant number, since it is smaller than the sum of its proper divisors (2265610096).

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

1490685200 is a wasteful number, since it uses less digits than its factorization.

1490685200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 1490685200 is about 38609.3926396156. The cubic root of 1490685200 is about 1142.3398131805.

The spelling of 1490685200 in words is "one billion, four hundred ninety million, six hundred eighty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 184 200 230 311 368 400 460 521 575 622 920 1042 1150 1244 1555 1840 2084 2300 2488 2605 3110 4168 4600 4976 5210 6220 7153 7775 8336 9200 10420 11983 12440 13025 14306 15550 20840 23966 24880 26050 28612 31100 35765 41680 47932 52100 57224 59915 62200 71530 95864 104200 114448 119830 124400 143060 162031 178825 191728 208400 239660 286120 299575 324062 357650 479320 572240 599150 648124 715300 810155 958640 1198300 1296248 1430600 1620310 2396600 2592496 2861200 3240620 3726713 4050775 4793200 6481240 7453426 8101550 12962480 14906852 16203100 18633565 29813704 32406200 37267130 59627408 64812400 74534260 93167825 149068520 186335650 298137040 372671300 745342600 1490685200