Search a number
-
+
30757420 = 22517611483
BaseRepresentation
bin111010101010…
…1001000101100
32010212122020201
41311111020230
530333214140
63015123244
7522301531
oct165251054
963778221
1030757420
11163a8561
12a373524
1364ab975
144128d88
152a7849a
hex1d5522c

30757420 has 48 divisors (see below), whose sum is σ = 69558048. Its totient is φ = 11381760.

The previous prime is 30757373. The next prime is 30757423. The reversal of 30757420 is 2475703.

30757420 = T166 + T167 + ... + T573.

It is not an unprimeable number, because it can be changed into a prime (30757423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19999 + ... + 21481.

It is an arithmetic number, because the mean of its divisors is an integer number (1449126).

Almost surely, 230757420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30757420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34779024).

30757420 is an abundant number, since it is smaller than the sum of its proper divisors (38800628).

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

30757420 is a wasteful number, since it uses less digits than its factorization.

30757420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1570 (or 1568 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 28.

The square root of 30757420 is about 5545.9372517186. The cubic root of 30757420 is about 313.3165249270.

The spelling of 30757420 in words is "thirty million, seven hundred fifty-seven thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 61 68 85 122 170 244 305 340 610 1037 1220 1483 2074 2966 4148 5185 5932 7415 10370 14830 20740 25211 29660 50422 90463 100844 126055 180926 252110 361852 452315 504220 904630 1537871 1809260 3075742 6151484 7689355 15378710 30757420