Search a number
-
+
1390570752 = 28353127269
BaseRepresentation
bin101001011100010…
…0110110100000000
310120220121022110110
41102320212310000
510321441231002
6345552431320
746313441064
oct12270466400
93526538413
101390570752
11653a3942a
12329848540
1319212993c
14d2979aa4
1582130e6c
hex52e26d00

1390570752 has 144 divisors (see below), whose sum is σ = 3814594560. Its totient is φ = 449519616.

The previous prime is 1390570733. The next prime is 1390570759. The reversal of 1390570752 is 2570750931.

It is a self number, because there is not a number n which added to its sum of digits gives 1390570752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1390570759) 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, 5169274 + ... + 5169542.

It is an arithmetic number, because the mean of its divisors is an integer number (26490240).

Almost surely, 21390570752 is an apocalyptic number.

1390570752 is a gapful number since it is divisible by the number (12) 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 1390570752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1907297280).

1390570752 is an abundant number, since it is smaller than the sum of its proper divisors (2424023808).

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

1390570752 is a wasteful number, since it uses less digits than its factorization.

1390570752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 66150, while the sum is 39.

The square root of 1390570752 is about 37290.3573595105. The cubic root of 1390570752 is about 1116.1717596405.

The spelling of 1390570752 in words is "one billion, three hundred ninety million, five hundred seventy thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 127 128 159 192 212 254 256 269 318 381 384 424 508 538 636 762 768 807 848 1016 1076 1272 1524 1614 1696 2032 2152 2544 3048 3228 3392 4064 4304 5088 6096 6456 6731 6784 8128 8608 10176 12192 12912 13462 13568 14257 16256 17216 20193 20352 24384 25824 26924 28514 32512 34163 34432 40386 40704 42771 48768 51648 53848 57028 68326 68864 80772 85542 97536 102489 103296 107696 114056 136652 161544 171084 204978 206592 215392 228112 273304 323088 342168 409956 430784 456224 546608 646176 684336 819912 861568 912448 1093216 1292352 1368672 1639824 1723136 1810639 1824896 2186432 2584704 2737344 3279648 3621278 3649792 4372864 5169408 5431917 5474688 6559296 7242556 8745728 10863834 10949376 13118592 14485112 21727668 26237184 28970224 43455336 57940448 86910672 115880896 173821344 231761792 347642688 463523584 695285376 1390570752