Search a number
-
+
61064280 = 2334547401
BaseRepresentation
bin1110100011110…
…0010001011000
311020220101110000
43220330101120
5111113024110
610020453000
71341015654
oct350742130
9136811400
1061064280
1131518552
121854a160
13c860514
148177a64
1555631c0
hex3a3c458

61064280 has 160 divisors (see below), whose sum is σ = 210133440. Its totient is φ = 15897600.

The previous prime is 61064251. The next prime is 61064291. The reversal of 61064280 is 8246016.

61064280 is a `hidden beast` number, since 6 + 10 + 642 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 152080 + ... + 152480.

It is an arithmetic number, because the mean of its divisors is an integer number (1313334).

Almost surely, 261064280 is an apocalyptic number.

61064280 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 61064280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105066720).

61064280 is an abundant number, since it is smaller than the sum of its proper divisors (149069160).

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

61064280 is a wasteful number, since it uses less digits than its factorization.

61064280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 61064280 is about 7814.3636977044. The cubic root of 61064280 is about 393.7879419220.

The spelling of 61064280 in words is "sixty-one million, sixty-four thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 47 54 60 72 81 90 94 108 120 135 141 162 180 188 216 235 270 282 324 360 376 401 405 423 470 540 564 648 705 802 810 846 940 1080 1128 1203 1269 1410 1604 1620 1692 1880 2005 2115 2406 2538 2820 3208 3240 3384 3609 3807 4010 4230 4812 5076 5640 6015 6345 7218 7614 8020 8460 9624 10152 10827 12030 12690 14436 15228 16040 16920 18045 18847 19035 21654 24060 25380 28872 30456 32481 36090 37694 38070 43308 48120 50760 54135 56541 64962 72180 75388 76140 86616 94235 108270 113082 129924 144360 150776 152280 162405 169623 188470 216540 226164 259848 282705 324810 339246 376940 433080 452328 508869 565410 649620 678492 753880 848115 1017738 1130820 1299240 1356984 1526607 1696230 2035476 2261640 2544345 3053214 3392460 4070952 5088690 6106428 6784920 7633035 10177380 12212856 15266070 20354760 30532140 61064280