Search a number
-
+
30679000 = 2353112789
BaseRepresentation
bin111010100000…
…1111111011000
32010201122200021
41311001333120
530323212000
63013320224
7521524102
oct165017730
963648607
1030679000
1116354650
12a336074
136482071
144108572
152a6011a
hex1d41fd8

30679000 has 64 divisors (see below), whose sum is σ = 78343200. Its totient is φ = 11152000.

The previous prime is 30678979. The next prime is 30679001. The reversal of 30679000 is 97603.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30679001) 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, 9606 + ... + 12394.

Almost surely, 230679000 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 30679000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39171600).

30679000 is an abundant number, since it is smaller than the sum of its proper divisors (47664200).

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

30679000 is a wasteful number, since it uses less digits than its factorization.

30679000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2821 (or 2807 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 25.

The square root of 30679000 is about 5538.8626991468. The cubic root of 30679000 is about 313.0500180352.

The spelling of 30679000 in words is "thirty million, six hundred seventy-nine thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 2789 5500 5578 11000 11156 13945 22312 27890 30679 55780 61358 69725 111560 122716 139450 153395 245432 278900 306790 348625 557800 613580 697250 766975 1227160 1394500 1533950 2789000 3067900 3834875 6135800 7669750 15339500 30679000