Search a number
-
+
2140103040 = 27357315269
BaseRepresentation
bin111111110001111…
…0110000110000000
312112010222111110120
41333203312012000
513340331244130
6552205500240
7104014401315
oct17743660600
95463874416
102140103040
119a903a0a9
124b8871680
132814bc57a
14164328d0c
15c7d39910
hex7f8f6180

2140103040 has 128 divisors (see below), whose sum is σ = 6915477600. Its totient is φ = 562839552.

The previous prime is 2140103033. The next prime is 2140103071. The reversal of 2140103040 is 403010412.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132526 + ... + 147794.

Almost surely, 22140103040 is an apocalyptic number.

2140103040 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 2140103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3457738800).

2140103040 is an abundant number, since it is smaller than the sum of its proper divisors (4775374560).

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

2140103040 is a wasteful number, since it uses less digits than its factorization.

2140103040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15364 (or 15352 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2140103040 is about 46261.2477133940. The cubic root of 2140103040 is about 1288.6794249822.

Adding to 2140103040 its reverse (403010412), we get a palindrome (2543113452).

The spelling of 2140103040 in words is "two billion, one hundred forty million, one hundred three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 73 80 96 120 128 146 160 192 219 240 292 320 365 384 438 480 584 640 730 876 960 1095 1168 1460 1752 1920 2190 2336 2920 3504 4380 4672 5840 7008 8760 9344 11680 14016 15269 17520 23360 28032 30538 35040 45807 46720 61076 70080 76345 91614 122152 140160 152690 183228 229035 244304 305380 366456 458070 488608 610760 732912 916140 977216 1114637 1221520 1465824 1832280 1954432 2229274 2443040 2931648 3343911 3664560 4458548 4886080 5573185 5863296 6687822 7329120 8917096 9772160 11146370 13375644 14658240 16719555 17834192 22292740 26751288 29316480 33439110 35668384 44585480 53502576 66878220 71336768 89170960 107005152 133756440 142673536 178341920 214010304 267512880 356683840 428020608 535025760 713367680 1070051520 2140103040