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147968814 = 23759211283
BaseRepresentation
bin10001101000111…
…01001100101110
3101022102121001110
420310131030232
5300340000224
622403252450
73444466650
oct1064351456
9338377043
10147968814
1176585184
124167a126
132486a516
141591a6d0
15cecc929
hex8d1d32e

147968814 has 64 divisors (see below), whose sum is σ = 346798080. Its totient is φ = 41217120.

The previous prime is 147968791. The next prime is 147968837. The reversal of 147968814 is 418869741.

147968814 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (147968791) and next prime (147968837).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 522717 + ... + 522999.

It is an arithmetic number, because the mean of its divisors is an integer number (5418720).

Almost surely, 2147968814 is an apocalyptic number.

147968814 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 147968814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173399040).

147968814 is an abundant number, since it is smaller than the sum of its proper divisors (198829266).

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

147968814 is a wasteful number, since it uses less digits than its factorization.

147968814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565.

The product of its digits is 387072, while the sum is 48.

The square root of 147968814 is about 12164.2432563641. The cubic root of 147968814 is about 528.9200913696.

The spelling of 147968814 in words is "one hundred forty-seven million, nine hundred sixty-eight thousand, eight hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 59 118 177 211 283 354 413 422 566 633 826 849 1239 1266 1477 1698 1981 2478 2954 3962 4431 5943 8862 11886 12449 16697 24898 33394 37347 50091 59713 74694 87143 100182 116879 119426 174286 179139 233758 261429 350637 358278 417991 522858 701274 835982 1253973 2507946 3523067 7046134 10569201 21138402 24661469 49322938 73984407 147968814