Search a number
-
+
2088885840 = 2435191273607
BaseRepresentation
bin111110010000001…
…1101111001010000
312101120121101200020
41330200131321100
513234223321330
6543140023440
7102523144116
oct17440357120
95346541606
102088885840
11982137938
124a3691b80
132739c9132
1415b5d5ab6
15c35be210
hex7c81de50

2088885840 has 160 divisors (see below), whose sum is σ = 6871941120. Its totient is φ = 523418112.

The previous prime is 2088885839. The next prime is 2088885889. The reversal of 2088885840 is 485888802.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 577317 + ... + 580923.

It is an arithmetic number, because the mean of its divisors is an integer number (42949632).

Almost surely, 22088885840 is an apocalyptic number.

2088885840 is a gapful number since it is divisible by the number (20) 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 2088885840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3435970560).

2088885840 is an abundant number, since it is smaller than the sum of its proper divisors (4783055280).

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

2088885840 is a wasteful number, since it uses less digits than its factorization.

2088885840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3769 (or 3763 counting only the distinct ones).

The product of its (nonzero) digits is 1310720, while the sum is 51.

The square root of 2088885840 is about 45704.3306482001. The cubic root of 2088885840 is about 1278.3160309833.

The spelling of 2088885840 in words is "two billion, eighty-eight million, eight hundred eighty-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 127 152 190 228 240 254 285 304 380 381 456 508 570 635 760 762 912 1016 1140 1270 1520 1524 1905 2032 2280 2413 2540 3048 3607 3810 4560 4826 5080 6096 7214 7239 7620 9652 10160 10821 12065 14428 14478 15240 18035 19304 21642 24130 28856 28956 30480 36070 36195 38608 43284 48260 54105 57712 57912 68533 72140 72390 86568 96520 108210 115824 137066 144280 144780 173136 193040 205599 216420 274132 288560 289560 342665 411198 432840 458089 548264 579120 685330 822396 865680 916178 1027995 1096528 1370660 1374267 1644792 1832356 2055990 2290445 2741320 2748534 3289584 3664712 4111980 4580890 5482640 5497068 6871335 7329424 8223960 8703691 9161780 10994136 13742670 16447920 17407382 18323560 21988272 26111073 27485340 34814764 36647120 43518455 52222146 54970680 69629528 87036910 104444292 109941360 130555365 139259056 174073820 208888584 261110730 348147640 417777168 522221460 696295280 1044442920 2088885840