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153142077 = 3112312439
BaseRepresentation
bin10010010000011…
…00001100111101
3101200011102102210
421020030030331
5303201021302
623110211033
73536454234
oct1110141475
9350142383
10153142077
1179498a00
1243353a79
132595c11a
14164a5b1b
15d6a066c
hex920c33d

153142077 has 36 divisors (see below), whose sum is σ = 232441440. Its totient is φ = 89614800.

The previous prime is 153142063. The next prime is 153142079. The reversal of 153142077 is 770241351.

It is not a de Polignac number, because 153142077 - 216 = 153076541 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153142079) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 348624 + ... + 349062.

Almost surely, 2153142077 is an apocalyptic number.

It is an amenable number.

153142077 is a deficient number, since it is larger than the sum of its proper divisors (79299363).

153142077 is a wasteful number, since it uses less digits than its factorization.

153142077 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 153142077 is about 12375.0586665276. The cubic root of 153142077 is about 535.0136276262.

It can be divided in two parts, 15314 and 2077, that added together give a triangular number (17391 = T186).

The spelling of 153142077 in words is "one hundred fifty-three million, one hundred forty-two thousand, seventy-seven".

Divisors: 1 3 11 31 33 93 121 341 363 439 961 1023 1317 2883 3751 4829 10571 11253 13609 14487 31713 40827 53119 116281 149699 159357 348843 421879 449097 1265637 1646689 4640669 4940067 13922007 51047359 153142077