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9977742 = 234173623
BaseRepresentation
bin100110000011…
…111110001110
3200202220220000
4212003332032
510023241432
6553505130
7150544425
oct46037616
920686800
109977742
1156a5475
1234121a6
1320b46b8
14147a2bc
15d2157c
hex983f8e

9977742 has 40 divisors (see below), whose sum is σ = 23679216. Its totient is φ = 3129408.

The previous prime is 9977741. The next prime is 9977743. The reversal of 9977742 is 2477799.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (9977741) and next prime (9977743).

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9977741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 943 + ... + 4565.

Almost surely, 29977742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9977742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11839608).

9977742 is an abundant number, since it is smaller than the sum of its proper divisors (13701474).

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

9977742 is a wasteful number, since it uses less digits than its factorization.

9977742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3654 (or 3645 counting only the distinct ones).

The product of its digits is 222264, while the sum is 45.

The square root of 9977742 is about 3158.7564008641. The cubic root of 9977742 is about 215.2835055711.

It can be divided in two parts, 99 and 77742, that added together give a square (77841 = 2792).

The spelling of 9977742 in words is "nine million, nine hundred seventy-seven thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 306 459 918 1377 2754 3623 7246 10869 21738 32607 61591 65214 97821 123182 184773 195642 293463 369546 554319 586926 1108638 1662957 3325914 4988871 9977742