Search a number
-
+
1132957308 = 2237191395107
BaseRepresentation
bin100001110000111…
…1000111001111100
32220221212012020210
41003201320321330
54310014113213
6304231112420
740034656350
oct10341707174
92827765223
101132957308
1153158565a
12277512710
1315094ca52
14aa67b460
15696e60c3
hex43878e7c

1132957308 has 96 divisors (see below), whose sum is σ = 3203737600. Its totient is φ = 304399296.

The previous prime is 1132957307. The next prime is 1132957321. The reversal of 1132957308 is 8037592311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132957307) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 219291 + ... + 224397.

Almost surely, 21132957308 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 1132957308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1601868800).

1132957308 is an abundant number, since it is smaller than the sum of its proper divisors (2070780292).

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

1132957308 is a wasteful number, since it uses less digits than its factorization.

1132957308 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5279 (or 5277 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 1132957308 is about 33659.4311894898. The cubic root of 1132957308 is about 1042.4882812432.

It can be divided in two parts, 1132957 and 308, that added together give a triangular number (1133265 = T1505).

The spelling of 1132957308 in words is "one billion, one hundred thirty-two million, nine hundred fifty-seven thousand, three hundred eight".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 139 228 266 278 399 417 532 556 798 834 973 1596 1668 1946 2641 2919 3892 5107 5282 5838 7923 10214 10564 11676 15321 15846 18487 20428 30642 31692 35749 36974 55461 61284 71498 73948 97033 107247 110922 142996 194066 214494 221844 291099 388132 428988 582198 679231 709873 1164396 1358462 1419746 2037693 2129619 2716924 2839492 4075386 4259238 4969111 8150772 8518476 9938222 13487587 14907333 19876444 26975174 29814666 40462761 53950348 59629332 80925522 94413109 161851044 188826218 283239327 377652436 566478654 1132957308