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9978150 = 23527131743
BaseRepresentation
bin100110000100…
…000100100110
3200202221110010
4212010010212
510023300100
6553511050
7150545550
oct46040446
920687403
109978150
1156a5806
123412486
1320b4940
14147a4d0
15d21750
hex984126

9978150 has 192 divisors, whose sum is σ = 32997888. Its totient is φ = 1935360.

The previous prime is 9978131. The next prime is 9978169. The reversal of 9978150 is 518799.

9978150 = 102 + 112 + ... + 3102.

It is a happy number.

9978150 is nontrivially palindromic in base 4.

It is an interprime number because it is at equal distance from previous prime (9978131) and next prime (9978169).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 9978099 and 9978108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 232029 + ... + 232071.

It is an arithmetic number, because the mean of its divisors is an integer number (171864).

Almost surely, 29978150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9978150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16498944).

9978150 is an abundant number, since it is smaller than the sum of its proper divisors (23019738).

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

9978150 is a wasteful number, since it uses less digits than its factorization.

9978150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 39.

The square root of 9978150 is about 3158.8209825820. The cubic root of 9978150 is about 215.2864399182.

The spelling of 9978150 in words is "nine million, nine hundred seventy-eight thousand, one hundred fifty".