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151322420 = 22553142757
BaseRepresentation
bin10010000010011…
…11111100110100
3101112201222100002
421001033330310
5302214304140
623003210432
73515135144
oct1101177464
9345658302
10151322420
1178465857
1242816a18
1325472ac2
1416150924
15d441415
hex904ff34

151322420 has 24 divisors (see below), whose sum is σ = 323775144. Its totient is φ = 59386496.

The previous prime is 151322419. The next prime is 151322443. The reversal of 151322420 is 24223151.

151322420 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 13118884 + 138203536 = 3622^2 + 11756^2 .

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 = 151322392 and 151322401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70319 + ... + 72438.

It is an arithmetic number, because the mean of its divisors is an integer number (13490631).

Almost surely, 2151322420 is an apocalyptic number.

151322420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151322420 is an abundant number, since it is smaller than the sum of its proper divisors (172452724).

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

151322420 is a wasteful number, since it uses less digits than its factorization.

151322420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142819 (or 142817 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 151322420 is about 12301.3178155838. The cubic root of 151322420 is about 532.8861416346.

Adding to 151322420 its reverse (24223151), we get a palindrome (175545571).

The spelling of 151322420 in words is "one hundred fifty-one million, three hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 53 106 212 265 530 1060 142757 285514 571028 713785 1427570 2855140 7566121 15132242 30264484 37830605 75661210 151322420