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61386000 = 2435313787
BaseRepresentation
bin1110101000101…
…0110100010000
311021111201202120
43222022310100
5111203323000
610031414240
71343525634
oct352126420
9137451676
1061386000
1131718235
1218684380
13c943aa0
14821cdc4
1555c86a0
hex3a8ad10

61386000 has 160 divisors (see below), whose sum is σ = 213403008. Its totient is φ = 15091200.

The previous prime is 61385999. The next prime is 61386029. The reversal of 61386000 is 68316.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77607 + ... + 78393.

Almost surely, 261386000 is an apocalyptic number.

61386000 is a gapful number since it is divisible by the number (60) 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 61386000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106701504).

61386000 is an abundant number, since it is smaller than the sum of its proper divisors (152017008).

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

61386000 is a wasteful number, since it uses less digits than its factorization.

61386000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 61386000 is about 7834.9218247536. The cubic root of 61386000 is about 394.4782943171.

The spelling of 61386000 in words is "sixty-one million, three hundred eighty-six thousand".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 39 40 48 50 52 60 65 75 78 80 100 104 120 125 130 150 156 195 200 208 240 250 260 300 312 325 375 390 400 500 520 600 624 650 750 780 787 975 1000 1040 1200 1300 1500 1560 1574 1625 1950 2000 2361 2600 3000 3120 3148 3250 3900 3935 4722 4875 5200 6000 6296 6500 7800 7870 9444 9750 10231 11805 12592 13000 15600 15740 18888 19500 19675 20462 23610 26000 30693 31480 37776 39000 39350 40924 47220 51155 59025 61386 62960 78000 78700 81848 94440 98375 102310 118050 122772 153465 157400 163696 188880 196750 204620 236100 245544 255775 295125 306930 314800 393500 409240 472200 491088 511550 590250 613860 767325 787000 818480 944400 1023100 1180500 1227720 1278875 1534650 1574000 2046200 2361000 2455440 2557750 3069300 3836625 4092400 4722000 5115500 6138600 7673250 10231000 12277200 15346500 20462000 30693000 61386000