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4967970 = 235741577
BaseRepresentation
bin10010111100111000100010
3100100101202220
4102330320202
52232433340
6254251510
760140610
oct22747042
910311686
104967970
112893567
1217b6b96
13104c337
149346b0
15681ed0
hex4bce22

4967970 has 64 divisors (see below), whose sum is σ = 13982976. Its totient is φ = 1105920.

The previous prime is 4967969. The next prime is 4967971. The reversal of 4967970 is 797694.

It is an interprime number because it is at equal distance from previous prime (4967969) and next prime (4967971).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (4967971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8322 + ... + 8898.

It is an arithmetic number, because the mean of its divisors is an integer number (218484).

Almost surely, 24967970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4967970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6991488).

4967970 is an abundant number, since it is smaller than the sum of its proper divisors (9015006).

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

4967970 is a wasteful number, since it uses less digits than its factorization.

4967970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635.

The product of its (nonzero) digits is 95256, while the sum is 42.

The square root of 4967970 is about 2228.8943447369. The cubic root of 4967970 is about 170.6316753282.

The spelling of 4967970 in words is "four million, nine hundred sixty-seven thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 41 42 70 82 105 123 205 210 246 287 410 574 577 615 861 1154 1230 1435 1722 1731 2870 2885 3462 4039 4305 5770 8078 8610 8655 12117 17310 20195 23657 24234 40390 47314 60585 70971 118285 121170 141942 165599 236570 331198 354855 496797 709710 827995 993594 1655990 2483985 4967970