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152020044 = 223311211633
BaseRepresentation
bin10010000111110…
…10010001001100
3101121001102022000
421003322101030
5302404120134
623030152300
73524102061
oct1103722114
9347042260
10152020044
11788a1a00
1242ab2690
13256584b7
1416292c68
15d52ce99
hex90fa44c

152020044 has 72 divisors (see below), whose sum is σ = 433250160. Its totient is φ = 46062720.

The previous prime is 152020021. The next prime is 152020067. The reversal of 152020044 is 440020251.

It is an interprime number because it is at equal distance from previous prime (152020021) and next prime (152020067).

It is a super-2 number, since 2×1520200442 = 46220187555523872, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 152019999 and 152020026.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7252 + ... + 18884.

Almost surely, 2152020044 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 152020044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216625080).

152020044 is an abundant number, since it is smaller than the sum of its proper divisors (281230116).

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

152020044 is a wasteful number, since it uses less digits than its factorization.

152020044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11668 (or 11649 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 152020044 is about 12329.6408706823. The cubic root of 152020044 is about 533.7037872408.

Adding to 152020044 its reverse (440020251), we get a palindrome (592040295).

The spelling of 152020044 in words is "one hundred fifty-two million, twenty thousand, forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 121 132 198 242 297 363 396 484 594 726 1089 1188 1452 2178 3267 4356 6534 11633 13068 23266 34899 46532 69798 104697 127963 139596 209394 255926 314091 383889 418788 511852 628182 767778 1151667 1256364 1407593 1535556 2303334 2815186 3455001 4222779 4606668 5630372 6910002 8445558 12668337 13820004 16891116 25336674 38005011 50673348 76010022 152020044