Search a number
-
+
30707400 = 2335261839
BaseRepresentation
bin111010100100…
…0111011001000
32010210002122010
41311020323020
530330114100
63014055520
7522002643
oct165107310
963702563
1030707400
1116373a19
12a34a5a0
136491c79
144114a5a
152a68750
hex1d48ec8

30707400 has 96 divisors (see below), whose sum is σ = 96868800. Its totient is φ = 8044800.

The previous prime is 30707393. The next prime is 30707419. The reversal of 30707400 is 470703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36181 + ... + 37019.

It is an arithmetic number, because the mean of its divisors is an integer number (1009050).

Almost surely, 230707400 is an apocalyptic number.

30707400 is a gapful number since it is divisible by the number (30) 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 30707400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48434400).

30707400 is an abundant number, since it is smaller than the sum of its proper divisors (66161400).

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

30707400 is a wasteful number, since it uses less digits than its factorization.

30707400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 21.

The square root of 30707400 is about 5541.4258093022. The cubic root of 30707400 is about 313.1465865732.

The spelling of 30707400 in words is "thirty million, seven hundred seven thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 61 75 100 120 122 150 183 200 244 300 305 366 488 600 610 732 839 915 1220 1464 1525 1678 1830 2440 2517 3050 3356 3660 4195 4575 5034 6100 6712 7320 8390 9150 10068 12200 12585 16780 18300 20136 20975 25170 33560 36600 41950 50340 51179 62925 83900 100680 102358 125850 153537 167800 204716 251700 255895 307074 409432 503400 511790 614148 767685 1023580 1228296 1279475 1535370 2047160 2558950 3070740 3838425 5117900 6141480 7676850 10235800 15353700 30707400