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1131464152 = 237132416449
BaseRepresentation
bin100001101110000…
…1100010111011000
32220212001100000201
41003130030113120
54304123323102
6304135111544
740016200210
oct10334142730
92825040021
101131464152
11530755845
12276b125b4
13150549220
14aa3ad240
15694ed987
hex4370c5d8

1131464152 has 64 divisors (see below), whose sum is σ = 2622312000. Its totient is φ = 445685760.

The previous prime is 1131464143. The next prime is 1131464179. The reversal of 1131464152 is 2514641311.

It is a super-2 number, since 2×11314641522 = 2560422254522158208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 1131464152.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172224 + ... + 178672.

It is an arithmetic number, because the mean of its divisors is an integer number (40973625).

Almost surely, 21131464152 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 1131464152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1311156000).

1131464152 is an abundant number, since it is smaller than the sum of its proper divisors (1490847848).

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

1131464152 is a wasteful number, since it uses less digits than its factorization.

1131464152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6716 (or 6712 counting only the distinct ones).

The product of its digits is 2880, while the sum is 28.

The square root of 1131464152 is about 33637.2435255923. The cubic root of 1131464152 is about 1042.0301051201.

It can be divided in two parts, 11314 and 64152, that added together give a triangular number (75466 = T388).

The spelling of 1131464152 in words is "one billion, one hundred thirty-one million, four hundred sixty-four thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 241 364 482 728 964 1687 1928 3133 3374 6266 6449 6748 12532 12898 13496 21931 25064 25796 43862 45143 51592 83837 87724 90286 167674 175448 180572 335348 361144 586859 670696 1173718 1554209 2347436 3108418 4694872 6216836 10879463 12433672 20204717 21758926 40409434 43517852 80818868 87035704 141433019 161637736 282866038 565732076 1131464152