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134092992 = 26311173367
BaseRepresentation
bin1111111111000…
…01100011000000
3100100022122000010
413333201203000
5233311433432
621150024520
73215525445
oct777414300
9310278003
10134092992
1169768060
1238aa8140
1321a1c787
1413b479cc
15bb8b3cc
hex7fe18c0

134092992 has 112 divisors (see below), whose sum is σ = 390339072. Its totient is φ = 40289280.

The previous prime is 134092961. The next prime is 134092993. The reversal of 134092992 is 299290431.

It is a super-3 number, since 3×1340929923 (a number of 25 digits) contains 333 as substring.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 134092992.

It is not an unprimeable number, because it can be changed into a prime (134092993) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 365193 + ... + 365559.

Almost surely, 2134092992 is an apocalyptic number.

134092992 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 134092992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195169536).

134092992 is an abundant number, since it is smaller than the sum of its proper divisors (256246080).

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

134092992 is a wasteful number, since it uses less digits than its factorization.

134092992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The square root of 134092992 is about 11579.8528488060. The cubic root of 134092992 is about 511.8413408135.

The spelling of 134092992 in words is "one hundred thirty-four million, ninety-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 173 176 192 264 346 352 367 519 528 692 704 734 1038 1056 1101 1384 1468 1903 2076 2112 2202 2768 2936 3806 4037 4152 4404 5536 5709 5872 7612 8074 8304 8808 11072 11418 11744 12111 15224 16148 16608 17616 22836 23488 24222 30448 32296 33216 35232 45672 48444 60896 63491 64592 70464 91344 96888 121792 126982 129184 182688 190473 193776 253964 258368 365376 380946 387552 507928 698401 761892 775104 1015856 1396802 1523784 2031712 2095203 2793604 3047568 4063424 4190406 5587208 6095136 8380812 11174416 12190272 16761624 22348832 33523248 44697664 67046496 134092992