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64087380 = 223257192677
BaseRepresentation
bin1111010001111…
…0010101010100
311110120222100200
43310132111110
5112401244010
610205340500
71405506450
oct364362524
9143528320
1064087380
11331a2885
1219567730
131037b536
148723660
15595dcc0
hex3d1e554

64087380 has 144 divisors (see below), whose sum is σ = 233950080. Its totient is φ = 13872384.

The previous prime is 64087351. The next prime is 64087381. The reversal of 64087380 is 8378046.

64087380 is a `hidden beast` number, since 640 + 8 + 7 + 3 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64087381) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22602 + ... + 25278.

Almost surely, 264087380 is an apocalyptic number.

64087380 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 64087380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116975040).

64087380 is an abundant number, since it is smaller than the sum of its proper divisors (169862700).

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

64087380 is a wasteful number, since it uses less digits than its factorization.

64087380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2718 (or 2713 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 64087380 is about 8005.4593871932. The cubic root of 64087380 is about 400.1819588815.

The spelling of 64087380 in words is "sixty-four million, eighty-seven thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 19 20 21 28 30 35 36 38 42 45 57 60 63 70 76 84 90 95 105 114 126 133 140 171 180 190 210 228 252 266 285 315 342 380 399 420 532 570 630 665 684 798 855 1140 1197 1260 1330 1596 1710 1995 2394 2660 2677 3420 3990 4788 5354 5985 7980 8031 10708 11970 13385 16062 18739 23940 24093 26770 32124 37478 40155 48186 50863 53540 56217 74956 80310 93695 96372 101726 112434 120465 152589 160620 168651 187390 203452 224868 240930 254315 281085 305178 337302 356041 374780 457767 481860 508630 562170 610356 674604 712082 762945 843255 915534 1017260 1068123 1124340 1424164 1525890 1686510 1780205 1831068 2136246 2288835 3051780 3204369 3373020 3560410 4272492 4577670 5340615 6408738 7120820 9155340 10681230 12817476 16021845 21362460 32043690 64087380