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101484540 = 223254611223
BaseRepresentation
bin1100000110010…
…00011111111100
321001221221121200
412003020133330
5201440001130
614023055500
72341414203
oct603103774
9231857550
10101484540
1152315923
1229ba1590
1318043431
14d69a23a
158d99760
hex60c87fc

101484540 has 72 divisors (see below), whose sum is σ = 308756448. Its totient is φ = 26981760.

The previous prime is 101484503. The next prime is 101484563. The reversal of 101484540 is 45484101.

It is a happy number.

It is a super-2 number, since 2×1014845402 = 20598223718023200, which contains 22 as substring.

It is a congruent number.

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, 82369 + ... + 83591.

It is an arithmetic number, because the mean of its divisors is an integer number (4288284).

Almost surely, 2101484540 is an apocalyptic number.

101484540 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 101484540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154378224).

101484540 is an abundant number, since it is smaller than the sum of its proper divisors (207271908).

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

101484540 is a wasteful number, since it uses less digits than its factorization.

101484540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1699 (or 1694 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 101484540 is about 10073.9535436689. The cubic root of 101484540 is about 466.4444849382. Note that the first 4 decimals are identical.

The spelling of 101484540 in words is "one hundred one million, four hundred eighty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 461 922 1223 1383 1844 2305 2446 2766 3669 4149 4610 4892 5532 6115 6915 7338 8298 9220 11007 12230 13830 14676 16596 18345 20745 22014 24460 27660 36690 41490 44028 55035 73380 82980 110070 220140 563803 1127606 1691409 2255212 2819015 3382818 5074227 5638030 6765636 8457045 10148454 11276060 16914090 20296908 25371135 33828180 50742270 101484540