Search a number
-
+
1496065040 = 24583233967
BaseRepresentation
bin101100100101100…
…0010010000010000
310212021002222102022
41121023002100100
511030443040130
6404241511012
752034225441
oct13113022020
93767088368
101496065040
116a8542898
12359042468
131aac451b2
1410299b2c8
158b51d7e5
hex592c2410

1496065040 has 80 divisors (see below), whose sum is σ = 3539023488. Its totient is φ = 588069888.

The previous prime is 1496065013. The next prime is 1496065049. The reversal of 1496065040 is 405606941.

It is a Cunningham number, because it is equal to 386792-1.

It is a tau number, because it is divible by the number of its divisors (80).

1496065040 is a modest number, since divided by 65040 gives 14960 as remainder.

It is not an unprimeable number, because it can be changed into a prime (1496065049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1546637 + ... + 1547603.

Almost surely, 21496065040 is an apocalyptic number.

1496065040 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 1496065040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1769511744).

1496065040 is an abundant number, since it is smaller than the sum of its proper divisors (2042958448).

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

1496065040 is a wasteful number, since it uses less digits than its factorization.

1496065040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1296 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 1496065040 is about 38678.9999870731. Note that the first 4 decimals coincide. The cubic root of 1496065040 is about 1143.7123871493.

The spelling of 1496065040 in words is "one billion, four hundred ninety-six million, sixty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 83 166 233 332 415 466 664 830 932 967 1165 1328 1660 1864 1934 2330 3320 3728 3868 4660 4835 6640 7736 9320 9670 15472 18640 19339 19340 38678 38680 77356 77360 80261 96695 154712 160522 193390 225311 309424 321044 386780 401305 450622 642088 773560 802610 901244 1126555 1284176 1547120 1605220 1802488 2253110 3210440 3604976 4506220 6420880 9012440 18024880 18700813 37401626 74803252 93504065 149606504 187008130 299213008 374016260 748032520 1496065040