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159412974 = 23723117491
BaseRepresentation
bin10011000000001…
…11001011101110
3102002222000111020
421200013023232
5311302203344
623452435010
73643662600
oct1140071356
9362860436
10159412974
1181a91366
1245478a66
1327046506
1417259170
15dedd719
hex98072ee

159412974 has 48 divisors (see below), whose sum is σ = 382864896. Its totient is φ = 44074800.

The previous prime is 159412969. The next prime is 159412999. The reversal of 159412974 is 479214951.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 369 + ... + 17859.

It is an arithmetic number, because the mean of its divisors is an integer number (7976352).

Almost surely, 2159412974 is an apocalyptic number.

159412974 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 159412974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191432448).

159412974 is an abundant number, since it is smaller than the sum of its proper divisors (223451922).

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

159412974 is a wasteful number, since it uses less digits than its factorization.

159412974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17541 (or 17534 counting only the distinct ones).

The product of its digits is 90720, while the sum is 42.

The square root of 159412974 is about 12625.8850778866. The cubic root of 159412974 is about 542.2187789771.

It can be divided in two parts, 15941 and 2974, that added together give a triangular number (18915 = T194).

The spelling of 159412974 in words is "one hundred fifty-nine million, four hundred twelve thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 7 14 21 31 42 49 62 93 98 147 186 217 294 434 651 1302 1519 3038 4557 9114 17491 34982 52473 104946 122437 244874 367311 542221 734622 857059 1084442 1626663 1714118 2571177 3253326 3795547 5142354 7591094 11386641 22773282 26568829 53137658 79706487 159412974