[go: up one dir, main page]

Search a number
-
+
29713440 = 2535103601
BaseRepresentation
bin111000101011…
…0010000100000
32001220121011210
41301112100200
530101312230
62540510120
7510363051
oct161262040
961817153
1029713440
1115855169
129b4b340
136204723
143d36728
15291deb0
hex1c56420

29713440 has 96 divisors (see below), whose sum is σ = 94663296. Its totient is φ = 7833600.

The previous prime is 29713427. The next prime is 29713483. The reversal of 29713440 is 4431792.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 29713398 and 29713407.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49140 + ... + 49740.

It is an arithmetic number, because the mean of its divisors is an integer number (986076).

Almost surely, 229713440 is an apocalyptic number.

29713440 is a gapful number since it is divisible by the number (20) 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 29713440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47331648).

29713440 is an abundant number, since it is smaller than the sum of its proper divisors (64949856).

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

29713440 is a wasteful number, since it uses less digits than its factorization.

29713440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 29713440 is about 5451.0035773241. The cubic root of 29713440 is about 309.7307408744.

The spelling of 29713440 in words is "twenty-nine million, seven hundred thirteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 103 120 160 206 240 309 412 480 515 601 618 824 1030 1202 1236 1545 1648 1803 2060 2404 2472 3005 3090 3296 3606 4120 4808 4944 6010 6180 7212 8240 9015 9616 9888 12020 12360 14424 16480 18030 19232 24040 24720 28848 36060 48080 49440 57696 61903 72120 96160 123806 144240 185709 247612 288480 309515 371418 495224 619030 742836 928545 990448 1238060 1485672 1857090 1980896 2476120 2971344 3714180 4952240 5942688 7428360 9904480 14856720 29713440