[go: up one dir, main page]

Search a number
-
+
13729800 = 2335272467
BaseRepresentation
bin110100011000…
…000000001000
3221211112202010
4310120000020
512003323200
61210135520
7224462400
oct64300010
927745663
1013729800
117828447
1247215a0
132ac9456
141b75800
151313150
hexd18008

13729800 has 144 divisors (see below), whose sum is σ = 49617360. Its totient is φ = 3131520.

The previous prime is 13729783. The next prime is 13729801. The reversal of 13729800 is 892731.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (13729801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29167 + ... + 29633.

It is an arithmetic number, because the mean of its divisors is an integer number (344565).

Almost surely, 213729800 is an apocalyptic number.

13729800 is a gapful number since it is divisible by the number (10) 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 13729800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24808680).

13729800 is an abundant number, since it is smaller than the sum of its proper divisors (35887560).

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

13729800 is a wasteful number, since it uses less digits than its factorization.

13729800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 13729800 is about 3705.3744750025. The cubic root of 13729800 is about 239.4536181671.

The spelling of 13729800 in words is "thirteen million, seven hundred twenty-nine thousand, eight hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 49 50 56 60 70 75 84 98 100 105 120 140 147 150 168 175 196 200 210 245 280 294 300 350 392 420 467 490 525 588 600 700 735 840 934 980 1050 1176 1225 1400 1401 1470 1868 1960 2100 2335 2450 2802 2940 3269 3675 3736 4200 4670 4900 5604 5880 6538 7005 7350 9340 9800 9807 11208 11675 13076 14010 14700 16345 18680 19614 22883 23350 26152 28020 29400 32690 35025 39228 45766 46700 49035 56040 65380 68649 70050 78456 81725 91532 93400 98070 114415 130760 137298 140100 163450 183064 196140 228830 245175 274596 280200 326900 343245 392280 457660 490350 549192 572075 653800 686490 915320 980700 1144150 1372980 1716225 1961400 2288300 2745960 3432450 4576600 6864900 13729800