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1014528240 = 243451143331
BaseRepresentation
bin111100011110000…
…111100011110000
32121201000101010000
4330132013203300
54034204400430
6244400510000
734066230165
oct7436074360
92551011100
101014528240
114807470a0
1224391b300
13132255b8b
1498a5006c
155e100e60
hex3c7878f0

1014528240 has 400 divisors, whose sum is σ = 3945211776. Its totient is φ = 239500800.

The previous prime is 1014528233. The next prime is 1014528253. The reversal of 1014528240 is 428254101.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3064875 + ... + 3065205.

Almost surely, 21014528240 is an apocalyptic number.

1014528240 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 1014528240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1972605888).

1014528240 is an abundant number, since it is smaller than the sum of its proper divisors (2930683536).

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

1014528240 is a wasteful number, since it uses less digits than its factorization.

1014528240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 395 counting only the distinct ones).

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

The square root of 1014528240 is about 31851.6599253477. The cubic root of 1014528240 is about 1004.8194819458.

The spelling of 1014528240 in words is "one billion, fourteen million, five hundred twenty-eight thousand, two hundred forty".