Search a number
-
+
30757020 = 22357671093
BaseRepresentation
bin111010101010…
…1000010011100
32010212121200220
41311111002130
530333211040
63015121340
7522300420
oct165250234
963777626
1030757020
11163a8228
12a373250
1364ab728
144128b80
152a782d0
hex1d5509c

30757020 has 96 divisors (see below), whose sum is σ = 99982848. Its totient is φ = 6918912.

The previous prime is 30757009. The next prime is 30757031. The reversal of 30757020 is 2075703.

It is an interprime number because it is at equal distance from previous prime (30757009) and next prime (30757031).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27594 + ... + 28686.

It is an arithmetic number, because the mean of its divisors is an integer number (1041488).

Almost surely, 230757020 is an apocalyptic number.

30757020 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 30757020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49991424).

30757020 is an abundant number, since it is smaller than the sum of its proper divisors (69225828).

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

30757020 is a wasteful number, since it uses less digits than its factorization.

30757020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1179 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 24.

The square root of 30757020 is about 5545.9011891666. The cubic root of 30757020 is about 313.3151666948.

The spelling of 30757020 in words is "thirty million, seven hundred fifty-seven thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 67 70 84 105 134 140 201 210 268 335 402 420 469 670 804 938 1005 1093 1340 1407 1876 2010 2186 2345 2814 3279 4020 4372 4690 5465 5628 6558 7035 7651 9380 10930 13116 14070 15302 16395 21860 22953 28140 30604 32790 38255 45906 65580 73231 76510 91812 114765 146462 153020 219693 229530 292924 366155 439386 459060 512617 732310 878772 1025234 1098465 1464620 1537851 2050468 2196930 2563085 3075702 4393860 5126170 6151404 7689255 10252340 15378510 30757020