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151250020 = 22517661673
BaseRepresentation
bin10010000001111…
…10010001100100
3101112121022000121
421000332101210
5302210000040
623001451324
73514414105
oct1100762144
9345538017
10151250020
1178416419
12427a0b44
1325448b6c
14161323ac
15d429c4a
hex903e464

151250020 has 48 divisors (see below), whose sum is σ = 337318128. Its totient is φ = 56770560.

The previous prime is 151250009. The next prime is 151250027. The reversal of 151250020 is 20052151.

It can be written as a sum of positive squares in 8 ways, for example, as 3189796 + 148060224 = 1786^2 + 12168^2 .

It is a junction number, because it is equal to n+sod(n) for n = 151249976 and 151250003.

It is not an unprimeable number, because it can be changed into a prime (151250027) 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 15 ways as a sum of consecutive naturals, for example, 224404 + ... + 225076.

It is an arithmetic number, because the mean of its divisors is an integer number (7027461).

Almost surely, 2151250020 is an apocalyptic number.

151250020 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 151250020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168659064).

151250020 is an abundant number, since it is smaller than the sum of its proper divisors (186068108).

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

151250020 is a wasteful number, since it uses less digits than its factorization.

151250020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360 (or 1358 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 151250020 is about 12298.3746893644. The cubic root of 151250020 is about 532.8011418677.

It can be divided in two parts, 1512500 and 20, that multiplied together give a square (30250000 = 55002).

The spelling of 151250020 in words is "one hundred fifty-one million, two hundred fifty thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 661 673 1322 1346 2644 2692 3305 3365 6610 6730 11237 11441 13220 13460 22474 22882 44948 45764 56185 57205 112370 114410 224740 228820 444853 889706 1779412 2224265 4448530 7562501 8897060 15125002 30250004 37812505 75625010 151250020