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61043200 = 295219251
BaseRepresentation
bin1110100011011…
…1001000000000
311020212022112021
43220313020000
5111111340300
610020211224
71340600341
oct350671000
9136768467
1061043200
1131503729
1218539b14
13c853a4a
1481700c8
15555bd1a
hex3a37200

61043200 has 120 divisors (see below), whose sum is σ = 159833520. Its totient is φ = 23040000.

The previous prime is 61043197. The next prime is 61043207. The reversal of 61043200 is 234016.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (61043207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 243075 + ... + 243325.

It is an arithmetic number, because the mean of its divisors is an integer number (1331946).

Almost surely, 261043200 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 61043200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79916760).

61043200 is an abundant number, since it is smaller than the sum of its proper divisors (98790320).

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

61043200 is a wasteful number, since it uses less digits than its factorization.

61043200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 61043200 is about 7813.0147830399. The cubic root of 61043200 is about 393.7426235286.

Adding to 61043200 its reverse (234016), we get a palindrome (61277216).

The spelling of 61043200 in words is "sixty-one million, forty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 64 76 80 95 100 128 152 160 190 200 251 256 304 320 380 400 475 502 512 608 640 760 800 950 1004 1216 1255 1280 1520 1600 1900 2008 2432 2510 2560 3040 3200 3800 4016 4769 4864 5020 6080 6275 6400 7600 8032 9538 9728 10040 12160 12550 12800 15200 16064 19076 20080 23845 24320 25100 30400 32128 38152 40160 47690 48640 50200 60800 64256 76304 80320 95380 100400 119225 121600 128512 152608 160640 190760 200800 238450 243200 305216 321280 381520 401600 476900 610432 642560 763040 803200 953800 1220864 1526080 1606400 1907600 2441728 3052160 3212800 3815200 6104320 7630400 12208640 15260800 30521600 61043200