Search a number
-
+
4970040 = 233583499
BaseRepresentation
bin10010111101011000111000
3100100111121120
4102331120320
52233020130
6254305240
760146625
oct22753070
910314546
104970040
112895079
1217b8220
13105026a
1493534c
15682910
hex4bd638

4970040 has 64 divisors (see below), whose sum is σ = 15120000. Its totient is φ = 1306752.

The previous prime is 4970029. The next prime is 4970057. The reversal of 4970040 is 400794.

4970040 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9711 + ... + 10209.

It is an arithmetic number, because the mean of its divisors is an integer number (236250).

Almost surely, 24970040 is an apocalyptic number.

4970040 is a gapful number since it is divisible by the number (40) 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 4970040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7560000).

4970040 is an abundant number, since it is smaller than the sum of its proper divisors (10149960).

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

4970040 is a wasteful number, since it uses less digits than its factorization.

4970040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 4970040 is about 2229.3586521688. The cubic root of 4970040 is about 170.6553710243.

The spelling of 4970040 in words is "four million, nine hundred seventy thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 83 120 166 249 332 415 498 499 664 830 996 998 1245 1497 1660 1992 1996 2490 2495 2994 3320 3992 4980 4990 5988 7485 9960 9980 11976 14970 19960 29940 41417 59880 82834 124251 165668 207085 248502 331336 414170 497004 621255 828340 994008 1242510 1656680 2485020 4970040