Search a number
-
+
1252372104 = 23345093797
BaseRepresentation
bin100101010100101…
…1010111010001000
310020021120002120000
41022221122322020
510031101401404
6324134403000
743014662424
oct11251327210
93207502500
101252372104
11592a27775
122ab500460
1316c6004a9
14bc483b84
1574e33339
hex4aa5ae88

1252372104 has 80 divisors (see below), whose sum is σ = 3515618700. Its totient is φ = 416527488.

The previous prime is 1252372097. The next prime is 1252372109. The reversal of 1252372104 is 4012732521.

It can be written as a sum of positive squares in 2 ways, for example, as 1218149604 + 34222500 = 34902^2 + 5850^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1252372109) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 327934 + ... + 331730.

Almost surely, 21252372104 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 1252372104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1757809350).

1252372104 is an abundant number, since it is smaller than the sum of its proper divisors (2263246596).

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

1252372104 is a wasteful number, since it uses less digits than its factorization.

1252372104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4324 (or 4311 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 1252372104 is about 35388.8697756795. The cubic root of 1252372104 is about 1077.8983201918.

The spelling of 1252372104 in words is "one billion, two hundred fifty-two million, three hundred seventy-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 509 648 1018 1527 2036 3054 3797 4072 4581 6108 7594 9162 11391 12216 13743 15188 18324 22782 27486 30376 34173 36648 41229 45564 54972 68346 82458 91128 102519 109944 136692 164916 205038 273384 307557 329832 410076 615114 820152 1230228 1932673 2460456 3865346 5798019 7730692 11596038 15461384 17394057 23192076 34788114 46384152 52182171 69576228 104364342 139152456 156546513 208728684 313093026 417457368 626186052 1252372104