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4967130 = 2357231109
BaseRepresentation
bin10010111100101011011010
3100100100121210
4102330223122
52232422010
6254243550
760135300
oct22745332
910310553
104967130
112892973
1217b65b6
13104bb3c
14934270
15681b20
hex4bcada

4967130 has 96 divisors (see below), whose sum is σ = 14446080. Its totient is φ = 1088640.

The previous prime is 4967117. The next prime is 4967143. The reversal of 4967130 is 317694.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4967117) and next prime (4967143).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 45516 + ... + 45624.

It is an arithmetic number, because the mean of its divisors is an integer number (150480).

Almost surely, 24967130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4967130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7223040).

4967130 is an abundant number, since it is smaller than the sum of its proper divisors (9478950).

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

4967130 is a wasteful number, since it uses less digits than its factorization.

4967130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 4967130 is about 2228.7059025363. The cubic root of 4967130 is about 170.6220578059.

It can be divided in two parts, 496 and 7130, that added together give a triangular number (7626 = T123).

The spelling of 4967130 in words is "four million, nine hundred sixty-seven thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 31 35 42 49 62 70 93 98 105 109 147 155 186 210 217 218 245 294 310 327 434 465 490 545 651 654 735 763 930 1085 1090 1302 1470 1519 1526 1635 2170 2289 3038 3255 3270 3379 3815 4557 4578 5341 6510 6758 7595 7630 9114 10137 10682 11445 15190 16023 16895 20274 22785 22890 23653 26705 32046 33790 45570 47306 50685 53410 70959 80115 101370 118265 141918 160230 165571 236530 331142 354795 496713 709590 827855 993426 1655710 2483565 4967130