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61640000 = 26542367
BaseRepresentation
bin1110101100100…
…0110101000000
311021222122011222
43223020311000
5111234440000
610041054212
71345634312
oct353106500
9137878158
1061640000
1131881054
1218787368
13ca02596
1482877b2
155628a85
hex3ac8d40

61640000 has 140 divisors (see below), whose sum is σ = 161873184. Its totient is φ = 23232000.

The previous prime is 61639969. The next prime is 61640003. The reversal of 61640000 is 4616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61640003) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 919967 + ... + 920033.

Almost surely, 261640000 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 61640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80936592).

61640000 is an abundant number, since it is smaller than the sum of its proper divisors (100233184).

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

61640000 is an equidigital number, since it uses as much as digits as its factorization.

61640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 61640000 is about 7851.1145705562. The cubic root of 61640000 is about 395.0216299644.

Adding to 61640000 its reverse (4616), we get a palindrome (61644616).

The spelling of 61640000 in words is "sixty-one million, six hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 64 67 80 92 100 115 125 134 160 184 200 230 250 268 320 335 368 400 460 500 536 575 625 670 736 800 920 1000 1072 1150 1250 1340 1472 1541 1600 1675 1840 2000 2144 2300 2500 2680 2875 3082 3350 3680 4000 4288 4600 5000 5360 5750 6164 6700 7360 7705 8000 8375 9200 10000 10720 11500 12328 13400 14375 15410 16750 18400 20000 21440 23000 24656 26800 28750 30820 33500 36800 38525 40000 41875 46000 49312 53600 57500 61640 67000 77050 83750 92000 98624 107200 115000 123280 134000 154100 167500 184000 192625 230000 246560 268000 308200 335000 385250 460000 493120 536000 616400 670000 770500 920000 963125 1232800 1340000 1541000 1926250 2465600 2680000 3082000 3852500 6164000 7705000 12328000 15410000 30820000 61640000