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1134413696 = 27131953677
BaseRepresentation
bin100001110011101…
…1100011110000000
32221001121012001002
41003213130132000
54310402214241
6304322231132
740053233363
oct10347343600
92831535032
101134413696
1153238a889
12277ab54a8
1315103c910
14aa93a0da
15698d289b
hex439dc780

1134413696 has 128 divisors (see below), whose sum is σ = 2614096800. Its totient is φ = 485941248.

The previous prime is 1134413641. The next prime is 1134413713. The reversal of 1134413696 is 6963144311.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (38).

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, 1675310 + ... + 1675986.

Almost surely, 21134413696 is an apocalyptic number.

1134413696 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 1134413696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1307048400).

1134413696 is an abundant number, since it is smaller than the sum of its proper divisors (1479683104).

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

1134413696 is a wasteful number, since it uses less digits than its factorization.

1134413696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 764 counting only the distinct ones).

The product of its digits is 46656, while the sum is 38.

The square root of 1134413696 is about 33681.0584156733. The cubic root of 1134413696 is about 1042.9347874241.

The spelling of 1134413696 in words is "one billion, one hundred thirty-four million, four hundred thirteen thousand, six hundred ninety-six".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 53 64 76 104 106 128 152 208 212 247 304 416 424 494 608 677 689 832 848 988 1007 1216 1354 1378 1664 1696 1976 2014 2432 2708 2756 3392 3952 4028 5416 5512 6784 7904 8056 8801 10832 11024 12863 13091 15808 16112 17602 21664 22048 25726 26182 31616 32224 35204 35881 43328 44096 51452 52364 64448 70408 71762 86656 88192 102904 104728 128896 140816 143524 167219 205808 209456 281632 287048 334438 411616 418912 466453 563264 574096 668876 681739 823232 837824 932906 1126528 1148192 1337752 1363478 1646464 1675648 1865812 2296384 2675504 2726956 3731624 4592768 5351008 5453912 7463248 8862607 10702016 10907824 14926496 17725214 21404032 21815648 29852992 35450428 43631296 59705984 70900856 87262592 141801712 283603424 567206848 1134413696