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152145020 = 22529277947
BaseRepresentation
bin10010001000110…
…00110001111100
3101121021202201202
421010120301330
5302422120040
623032555032
73525132326
oct1104306174
9347252652
10152145020
1178977895
1242b52a78
13256a0351
14162c6616
15d555015
hex9118c7c

152145020 has 48 divisors (see below), whose sum is σ = 332065440. Its totient is φ = 58485504.

The previous prime is 152145017. The next prime is 152145029. The reversal of 152145020 is 20541251.

It is a super-2 number, since 2×1521450202 = 46296214221600800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 152144983 and 152145001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152145029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160187 + ... + 161133.

It is an arithmetic number, because the mean of its divisors is an integer number (6918030).

Almost surely, 2152145020 is an apocalyptic number.

152145020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152145020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166032720).

152145020 is an abundant number, since it is smaller than the sum of its proper divisors (179920420).

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

152145020 is a wasteful number, since it uses less digits than its factorization.

152145020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1262 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 152145020 is about 12334.7079414147. The cubic root of 152145020 is about 533.8500001852.

Adding to 152145020 its reverse (20541251), we get a palindrome (172686271).

The spelling of 152145020 in words is "one hundred fifty-two million, one hundred forty-five thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 277 290 554 580 947 1108 1385 1894 2770 3788 4735 5540 8033 9470 16066 18940 27463 32132 40165 54926 80330 109852 137315 160660 262319 274630 524638 549260 1049276 1311595 2623190 5246380 7607251 15214502 30429004 38036255 76072510 152145020