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1125455616 = 2832661739
BaseRepresentation
bin100001100010101…
…0001011100000000
32220102202001212100
41003011101130000
54301104034431
6303402230400
736614133465
oct10305213400
92812661770
101125455616
1152832150a
12274ab5400
1314c22438c
14a968766c
1568c134e6
hex43151700

1125455616 has 108 divisors (see below), whose sum is σ = 3254272840. Its totient is φ = 374077440.

The previous prime is 1125455609. The next prime is 1125455623. The reversal of 1125455616 is 6165545211.

1125455616 is a `hidden beast` number, since 11 + 25 + 4 + 5 + 5 + 616 = 666.

It is an interprime number because it is at equal distance from previous prime (1125455609) and next prime (1125455623).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1522575 + ... + 1523313.

Almost surely, 21125455616 is an apocalyptic number.

1125455616 is a gapful number since it is divisible by the number (16) 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 1125455616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1627136420).

1125455616 is an abundant number, since it is smaller than the sum of its proper divisors (2128817224).

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

1125455616 is an equidigital number, since it uses as much as digits as its factorization.

1125455616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1422 (or 1405 counting only the distinct ones).

The product of its digits is 36000, while the sum is 36.

The square root of 1125455616 is about 33547.8108972851. The cubic root of 1125455616 is about 1040.1822954608.

The spelling of 1125455616 in words is "one billion, one hundred twenty-five million, four hundred fifty-five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 661 739 768 1152 1322 1478 1983 2217 2304 2644 2956 3966 4434 5288 5912 5949 6651 7932 8868 10576 11824 11898 13302 15864 17736 21152 23648 23796 26604 31728 35472 42304 47296 47592 53208 63456 70944 84608 94592 95184 106416 126912 141888 169216 189184 190368 212832 253824 283776 380736 425664 488479 507648 567552 761472 851328 976958 1465437 1522944 1702656 1953916 2930874 3907832 4396311 5861748 7815664 8792622 11723496 15631328 17585244 23446992 31262656 35170488 46893984 62525312 70340976 93787968 125050624 140681952 187575936 281363904 375151872 562727808 1125455616