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1126234032 = 2437211101431
BaseRepresentation
bin100001100100000…
…1111011110110000
32220111012121122120
41003020033132300
54301303442112
6303431034240
736623555100
oct10310173660
92814177576
101126234032
11528803330
1227520b980
1314c437791
14a980b200
1568d18e8c
hex4320f7b0

1126234032 has 240 divisors, whose sum is σ = 3737332224. Its totient is φ = 288960000.

The previous prime is 1126234019. The next prime is 1126234093. The reversal of 1126234032 is 2304326211.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1126233993 and 1126234011.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2612857 + ... + 2613287.

Almost surely, 21126234032 is an apocalyptic number.

1126234032 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 1126234032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1868666112).

1126234032 is an abundant number, since it is smaller than the sum of its proper divisors (2611098192).

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

1126234032 is a wasteful number, since it uses less digits than its factorization.

1126234032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 1126234032 is about 33559.4104834993. The cubic root of 1126234032 is about 1040.4220525654.

The spelling of 1126234032 in words is "one billion, one hundred twenty-six million, two hundred thirty-four thousand, thirty-two".