Search a number
-
+
30465920 = 275181263
BaseRepresentation
bin111010000110…
…1111110000000
32010022211101102
41310031332000
530244402140
63004553532
7516645632
oct164157600
963284342
1030465920
1116219551
12a2528a8
136409094
144090a52
152a1be15
hex1d0df80

30465920 has 64 divisors (see below), whose sum is σ = 73513440. Its totient is φ = 12072960.

The previous prime is 30465899. The next prime is 30465947. The reversal of 30465920 is 2956403.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115709 + ... + 115971.

Almost surely, 230465920 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 30465920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36756720).

30465920 is an abundant number, since it is smaller than the sum of its proper divisors (43047520).

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

30465920 is a wasteful number, since it uses less digits than its factorization.

30465920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 30465920 is about 5519.5941879816. The cubic root of 30465920 is about 312.3235740151.

The spelling of 30465920 in words is "thirty million, four hundred sixty-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 181 263 320 362 526 640 724 905 1052 1315 1448 1810 2104 2630 2896 3620 4208 5260 5792 7240 8416 10520 11584 14480 16832 21040 23168 28960 33664 42080 47603 57920 84160 95206 115840 168320 190412 238015 380824 476030 761648 952060 1523296 1904120 3046592 3808240 6093184 7616480 15232960 30465920