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32868990 = 23457111731
BaseRepresentation
bin111110101100…
…0101001111110
32021211220210000
41331120221332
531403301430
63132255130
7546244650
oct175305176
967756700
1032868990
111760aa60
12b0114a6
136a6ab0b
1445186d0
152d43e60
hex1f58a7e

32868990 has 320 divisors, whose sum is σ = 120434688. Its totient is φ = 6220800.

The previous prime is 32868971. The next prime is 32868991. The reversal of 32868990 is 9986823.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32868991) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1060275 + ... + 1060305.

Almost surely, 232868990 is an apocalyptic number.

32868990 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 32868990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60217344).

32868990 is an abundant number, since it is smaller than the sum of its proper divisors (87565698).

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

32868990 is a wasteful number, since it uses less digits than its factorization.

32868990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 32868990 is about 5733.1483497290. The cubic root of 32868990 is about 320.3284063408.

The spelling of 32868990 in words is "thirty-two million, eight hundred sixty-eight thousand, nine hundred ninety".