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134071296 = 2103192297
BaseRepresentation
bin1111111110111…
…00010000000000
3100100021112020120
413333130100000
5233310240141
621145340240
73215405262
oct777342000
9310245216
10134071296
1169752827
1238a97680
1321a12938
1413b3db32
15bb84c66
hex7fdc400

134071296 has 88 divisors (see below), whose sum is σ = 376320480. Its totient is φ = 42319872.

The previous prime is 134071283. The next prime is 134071319. The reversal of 134071296 is 692170431.

It is a super-2 number, since 2×1340712962 = 35950224822239232, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57220 + ... + 59516.

Almost surely, 2134071296 is an apocalyptic number.

134071296 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 134071296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188160240).

134071296 is an abundant number, since it is smaller than the sum of its proper divisors (242249184).

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

134071296 is a wasteful number, since it uses less digits than its factorization.

134071296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2339 (or 2321 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 134071296 is about 11578.9160114408. The cubic root of 134071296 is about 511.8137343281.

The spelling of 134071296 in words is "one hundred thirty-four million, seventy-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 512 608 768 912 1024 1216 1536 1824 2297 2432 3072 3648 4594 4864 6891 7296 9188 9728 13782 14592 18376 19456 27564 29184 36752 43643 55128 58368 73504 87286 110256 130929 147008 174572 220512 261858 294016 349144 441024 523716 588032 698288 882048 1047432 1176064 1396576 1764096 2094864 2352128 2793152 3528192 4189728 5586304 7056384 8379456 11172608 16758912 22345216 33517824 44690432 67035648 134071296