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193139142 = 237171923619
BaseRepresentation
bin10111000001100…
…01000111000110
3111110102111002120
423200301013012
5343420423032
631055350410
74533440610
oct1340610706
9443374076
10193139142
119a027329
1254822406
1331024521
141b917db0
1511e5162c
hexb8311c6

193139142 has 128 divisors (see below), whose sum is σ = 514252800. Its totient is φ = 46987776.

The previous prime is 193139137. The next prime is 193139143. The reversal of 193139142 is 241931391.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (193139143) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 311709 + ... + 312327.

It is an arithmetic number, because the mean of its divisors is an integer number (4017600).

Almost surely, 2193139142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 193139142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257126400).

193139142 is an abundant number, since it is smaller than the sum of its proper divisors (321113658).

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

193139142 is a wasteful number, since it uses less digits than its factorization.

193139142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690.

The product of its digits is 5832, while the sum is 33.

The square root of 193139142 is about 13897.4509173445. The cubic root of 193139142 is about 578.0385007260.

The spelling of 193139142 in words is "one hundred ninety-three million, one hundred thirty-nine thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 14 17 19 21 23 34 38 42 46 51 57 69 102 114 119 133 138 161 238 266 322 323 357 391 399 437 483 619 646 714 782 798 874 966 969 1173 1238 1311 1857 1938 2261 2346 2622 2737 3059 3714 4333 4522 5474 6118 6783 7429 8211 8666 9177 10523 11761 12999 13566 14237 14858 16422 18354 21046 22287 23522 25998 28474 31569 35283 42711 44574 52003 63138 70566 73661 82327 85422 99659 104006 147322 156009 164654 199318 199937 220983 242029 246981 270503 298977 312018 399874 441966 484058 493962 541006 597954 599811 726087 811509 1199622 1399559 1452174 1623018 1694203 1893521 2799118 3388406 3787042 4198677 4598551 5082609 5680563 8397354 9197102 10165218 11361126 13795653 27591306 32189857 64379714 96569571 193139142