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155072660 = 22541281673
BaseRepresentation
bin10010011111000…
…11100010010100
3101210210111200212
421033203202110
5304144311120
623215424552
73562044611
oct1117434224
9353714625
10155072660
117a597426
1243b25158
1326186a92
1416849508
15d9326c5
hex93e3894

155072660 has 48 divisors (see below), whose sum is σ = 335279952. Its totient is φ = 60211200.

The previous prime is 155072641. The next prime is 155072681. The reversal of 155072660 is 66270551.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 18369796 + 136702864 = 4286^2 + 11692^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 230084 + ... + 230756.

It is an arithmetic number, because the mean of its divisors is an integer number (6984999).

Almost surely, 2155072660 is an apocalyptic number.

155072660 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 155072660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167639976).

155072660 is an abundant number, since it is smaller than the sum of its proper divisors (180207292).

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

155072660 is a wasteful number, since it uses less digits than its factorization.

155072660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 32.

The square root of 155072660 is about 12452.8173519088. The cubic root of 155072660 is about 537.2524592978.

The spelling of 155072660 in words is "one hundred fifty-five million, seventy-two thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 41 82 164 205 281 410 562 673 820 1124 1346 1405 2692 2810 3365 5620 6730 11521 13460 23042 27593 46084 55186 57605 110372 115210 137965 189113 230420 275930 378226 551860 756452 945565 1891130 3782260 7753633 15507266 31014532 38768165 77536330 155072660