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152021016 = 23337293467
BaseRepresentation
bin10010000111110…
…10100000011000
3101121001110122000
421003322200120
5302404133031
623030201000
73524104650
oct1103724030
9347043560
10152021016
11788a2704
1242ab3160
1325658a84
1416293360
15d52d3e6
hex90fa818

152021016 has 128 divisors (see below), whose sum is σ = 499392000. Its totient is φ = 41924736.

The previous prime is 152021003. The next prime is 152021017. The reversal of 152021016 is 610120251.

It is a super-2 number, since 2×1520210162 = 46220778611344512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 152021016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152021017) by changing a digit.

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, 42115 + ... + 45581.

It is an arithmetic number, because the mean of its divisors is an integer number (3901500).

Almost surely, 2152021016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152021016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249696000).

152021016 is an abundant number, since it is smaller than the sum of its proper divisors (347370984).

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

152021016 is a wasteful number, since it uses less digits than its factorization.

152021016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3518 (or 3508 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 152021016 is about 12329.6802878258. The cubic root of 152021016 is about 533.7049247201.

Adding to 152021016 its reverse (610120251), we get a palindrome (762141267).

The spelling of 152021016 in words is "one hundred fifty-two million, twenty-one thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 29 36 42 54 56 58 63 72 84 87 108 116 126 168 174 189 203 216 232 252 261 348 378 406 504 522 609 696 756 783 812 1044 1218 1512 1566 1624 1827 2088 2436 3132 3467 3654 4872 5481 6264 6934 7308 10401 10962 13868 14616 20802 21924 24269 27736 31203 41604 43848 48538 62406 72807 83208 93609 97076 100543 124812 145614 187218 194152 201086 218421 249624 291228 301629 374436 402172 436842 582456 603258 655263 703801 748872 804344 873684 904887 1206516 1310526 1407602 1747368 1809774 2111403 2413032 2621052 2714661 2815204 3619548 4222806 5242104 5429322 5630408 6334209 7239096 8445612 10858644 12668418 16891224 19002627 21717288 25336836 38005254 50673672 76010508 152021016