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142969680 = 243257191493
BaseRepresentation
bin10001000010110…
…00101101010000
3100222000121112100
420201120231100
5243100012210
622104200400
73354136140
oct1041305520
9328017470
10142969680
1173780267
123ba69100
1323809c59
1414db8920
15c8415c0
hex8858b50

142969680 has 240 divisors, whose sum is σ = 577998720. Its totient is φ = 30938112.

The previous prime is 142969667. The next prime is 142969691. The reversal of 142969680 is 86969241.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95014 + ... + 96506.

It is an arithmetic number, because the mean of its divisors is an integer number (2408328).

Almost surely, 2142969680 is an apocalyptic number.

142969680 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 142969680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288999360).

142969680 is an abundant number, since it is smaller than the sum of its proper divisors (435029040).

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

142969680 is a wasteful number, since it uses less digits than its factorization.

142969680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1538 (or 1529 counting only the distinct ones).

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

The square root of 142969680 is about 11956.9929330079. The cubic root of 142969680 is about 522.8951918152.

The spelling of 142969680 in words is "one hundred forty-two million, nine hundred sixty-nine thousand, six hundred eighty".