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1155434496 = 21131811039
BaseRepresentation
bin100010011011110…
…1000100000000000
32222112011011011020
41010313220200000
54331242400441
6310352545440
740430013456
oct10467504000
92875134136
101155434496
11543238047
12282b52280
131554bc868
14ad64c9d6
156b685e66
hex44de8800

1155434496 has 96 divisors (see below), whose sum is σ = 3100406400. Its totient is φ = 382648320.

The previous prime is 1155434491. The next prime is 1155434507. The reversal of 1155434496 is 6944345511.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (1155434491) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1111545 + ... + 1112583.

It is an arithmetic number, because the mean of its divisors is an integer number (32295900).

Almost surely, 21155434496 is an apocalyptic number.

1155434496 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 1155434496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1550203200).

1155434496 is an abundant number, since it is smaller than the sum of its proper divisors (1944971904).

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

1155434496 is a wasteful number, since it uses less digits than its factorization.

1155434496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1245 (or 1225 counting only the distinct ones).

The product of its digits is 259200, while the sum is 42.

The square root of 1155434496 is about 33991.6827474016. The cubic root of 1155434496 is about 1049.3372979268.

The spelling of 1155434496 in words is "one billion, one hundred fifty-five million, four hundred thirty-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 181 192 256 362 384 512 543 724 768 1024 1039 1086 1448 1536 2048 2078 2172 2896 3072 3117 4156 4344 5792 6144 6234 8312 8688 11584 12468 16624 17376 23168 24936 33248 34752 46336 49872 66496 69504 92672 99744 132992 139008 185344 188059 199488 265984 278016 370688 376118 398976 531968 556032 564177 752236 797952 1063936 1112064 1128354 1504472 1595904 2127872 2256708 3008944 3191808 4513416 6017888 6383616 9026832 12035776 18053664 24071552 36107328 48143104 72214656 96286208 144429312 192572416 288858624 385144832 577717248 1155434496