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156040100 = 225237181233
BaseRepresentation
bin10010100110011…
…11101110100100
3101212121122202222
421103033232210
5304421240400
623252251512
73603214256
oct1123175644
9355548688
10156040100
1180098267
1244310b98
1326435228
1416a1bcd6
15da74185
hex94cfba4

156040100 has 72 divisors (see below), whose sum is σ = 351180648. Its totient is φ = 60134400.

The previous prime is 156040091. The next prime is 156040121. The reversal of 156040100 is 1040651.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 81252196 + 74787904 = 9014^2 + 8648^2 .

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, 669584 + ... + 669816.

It is an arithmetic number, because the mean of its divisors is an integer number (4877509).

Almost surely, 2156040100 is an apocalyptic number.

156040100 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 156040100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175590324).

156040100 is an abundant number, since it is smaller than the sum of its proper divisors (195140548).

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

156040100 is a wasteful number, since it uses less digits than its factorization.

156040100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 156040100 is about 12491.6011783918. The cubic root of 156040100 is about 538.3673826472.

Adding to 156040100 its reverse (1040651), we get a palindrome (157080751).

The spelling of 156040100 in words is "one hundred fifty-six million, forty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 181 185 233 362 370 466 724 740 905 925 932 1165 1810 1850 2330 3620 3700 4525 4660 5825 6697 8621 9050 11650 13394 17242 18100 23300 26788 33485 34484 42173 43105 66970 84346 86210 133940 167425 168692 172420 210865 215525 334850 421730 431050 669700 843460 862100 1054325 1560401 2108650 3120802 4217300 6241604 7802005 15604010 31208020 39010025 78020050 156040100