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151664142 = 23729239521
BaseRepresentation
bin10010000101000…
…11011000001110
3101120101100002110
421002203120032
5302311223032
623014404450
73521060340
oct1102433016
9346340073
10151664142
1178679573
1242960726
13255624c6
14161dd290
15d4ac7cc
hex90a360e

151664142 has 64 divisors (see below), whose sum is σ = 360806400. Its totient is φ = 41583360.

The previous prime is 151664131. The next prime is 151664179. The reversal of 151664142 is 241466151.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 290842 + ... + 291362.

It is an arithmetic number, because the mean of its divisors is an integer number (5637600).

Almost surely, 2151664142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151664142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180403200).

151664142 is an abundant number, since it is smaller than the sum of its proper divisors (209142258).

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

151664142 is a wasteful number, since it uses less digits than its factorization.

151664142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801.

The product of its digits is 5760, while the sum is 30.

The square root of 151664142 is about 12315.1996329739. The cubic root of 151664142 is about 533.2869679311.

The spelling of 151664142 in words is "one hundred fifty-one million, six hundred sixty-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 14 21 29 42 58 87 174 203 239 406 478 521 609 717 1042 1218 1434 1563 1673 3126 3346 3647 5019 6931 7294 10038 10941 13862 15109 20793 21882 30218 41586 45327 48517 90654 97034 105763 124519 145551 211526 249038 291102 317289 373557 634578 747114 871633 1743266 2614899 3611051 5229798 7222102 10833153 21666306 25277357 50554714 75832071 151664142