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30609090 = 2345233153
BaseRepresentation
bin111010011000…
…0111011000010
32010121002210000
41310300323002
530313442330
63012020430
7521113221
oct164607302
963532700
1030609090
1116307076
12a301716
1364592b5
1440cacb8
152a49560
hex1d30ec2

30609090 has 160 divisors (see below), whose sum is σ = 90326016. Its totient is φ = 7413120.

The previous prime is 30609071. The next prime is 30609107. The reversal of 30609090 is 9090603.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

30609090 is a modest number, since divided by 9090 gives 3060 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 577504 + ... + 577556.

Almost surely, 230609090 is an apocalyptic number.

30609090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30609090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45163008).

30609090 is an abundant number, since it is smaller than the sum of its proper divisors (59716926).

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

30609090 is a wasteful number, since it uses less digits than its factorization.

30609090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 30609090 is about 5532.5482374761. The cubic root of 30609090 is about 312.8120488313.

Adding to 30609090 its reverse (9090603), we get a palindrome (39699693).

The spelling of 30609090 in words is "thirty million, six hundred nine thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 31 45 46 53 54 62 69 81 90 93 106 115 135 138 155 159 162 186 207 230 265 270 279 310 318 345 405 414 465 477 530 558 621 690 713 795 810 837 930 954 1035 1219 1242 1395 1426 1431 1590 1643 1674 1863 2070 2139 2385 2438 2511 2790 2862 3105 3286 3565 3657 3726 4185 4278 4293 4770 4929 5022 6095 6210 6417 7130 7155 7314 8215 8370 8586 9315 9858 10695 10971 12190 12555 12834 14310 14787 16430 18285 18630 19251 21390 21465 21942 24645 25110 29574 32085 32913 36570 37789 38502 42930 44361 49290 54855 57753 64170 65826 73935 75578 88722 96255 98739 109710 113367 115506 133083 147870 164565 188945 192510 197478 221805 226734 266166 288765 329130 340101 377890 443610 493695 566835 577530 665415 680202 987390 1020303 1133670 1330830 1700505 2040606 3060909 3401010 5101515 6121818 10203030 15304545 30609090