Search a number
-
+
29960154 = 23271771197
BaseRepresentation
bin111001001001…
…0011111011010
32002101010121100
41302102133122
530132211104
62550052230
7512441250
oct162223732
962333540
1029960154
1115a03564
12a04a076
13628cb03
143d9c5d0
15296c139
hex1c927da

29960154 has 96 divisors (see below), whose sum is σ = 80061696. Its totient is φ = 7902720.

The previous prime is 29960143. The next prime is 29960173. The reversal of 29960154 is 45106992.

It is a super-2 number, since 2×299601542 = 1795221655407432, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 151984 + ... + 152180.

It is an arithmetic number, because the mean of its divisors is an integer number (833976).

Almost surely, 229960154 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29960154, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40030848).

29960154 is an abundant number, since it is smaller than the sum of its proper divisors (50101542).

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

29960154 is a wasteful number, since it uses less digits than its factorization.

29960154 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 29960154 is about 5473.5869409374. The cubic root of 29960154 is about 310.5856221042.

The spelling of 29960154 in words is "twenty-nine million, nine hundred sixty thousand, one hundred fifty-four".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 71 102 119 126 142 153 197 213 238 306 357 394 426 497 591 639 714 994 1071 1182 1207 1278 1379 1491 1773 2142 2414 2758 2982 3349 3546 3621 4137 4473 6698 7242 8274 8449 8946 10047 10863 12411 13987 16898 20094 21726 23443 24822 25347 27974 30141 41961 46886 50694 60282 70329 76041 83922 97909 125883 140658 152082 195818 210987 237779 251766 293727 421974 475558 587454 713337 881181 1426674 1664453 1762362 2140011 3328906 4280022 4993359 9986718 14980077 29960154