Search a number
-
+
30212736 = 2731941101
BaseRepresentation
bin111001101000…
…0001010000000
32002211222002020
41303100022000
530213301421
62555321440
7514542531
oct163201200
962758066
1030212736
1116066304
12a150280
13634aa78
144026688
1529bbdc6
hex1cd0280

30212736 has 128 divisors (see below), whose sum is σ = 87393600. Its totient is φ = 9216000.

The previous prime is 30212719. The next prime is 30212737. The reversal of 30212736 is 63721203.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (30212737) 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, 299086 + ... + 299186.

Almost surely, 230212736 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 30212736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43696800).

30212736 is an abundant number, since it is smaller than the sum of its proper divisors (57180864).

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

30212736 is a wasteful number, since it uses less digits than its factorization.

30212736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 30212736 is about 5496.6113197133. The cubic root of 30212736 is about 311.4559882236.

Adding to 30212736 its reverse (63721203), we get a palindrome (93933939).

The spelling of 30212736 in words is "thirty million, two hundred twelve thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 41 48 57 64 76 82 96 101 114 123 128 152 164 192 202 228 246 303 304 328 384 404 456 492 606 608 656 779 808 912 984 1212 1216 1312 1558 1616 1824 1919 1968 2337 2424 2432 2624 3116 3232 3648 3838 3936 4141 4674 4848 5248 5757 6232 6464 7296 7676 7872 8282 9348 9696 11514 12423 12464 12928 15352 15744 16564 18696 19392 23028 24846 24928 30704 33128 37392 38784 46056 49692 49856 61408 66256 74784 78679 92112 99384 99712 122816 132512 149568 157358 184224 198768 236037 245632 265024 299136 314716 368448 397536 472074 530048 629432 736896 795072 944148 1258864 1590144 1888296 2517728 3776592 5035456 7553184 10070912 15106368 30212736