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2507134080 = 273511118709
BaseRepresentation
bin1001010101101111…
…1101010010000000
320110201121121101210
42111123331102000
520113311242310
61052440330120
7116062200543
oct22533752200
96421547353
102507134080
111077236a40
1259b773940
1330c5596b9
1419ad8a85a
15ea189820
hex956fd480

2507134080 has 128 divisors (see below), whose sum is σ = 8718062400. Its totient is φ = 607784960.

The previous prime is 2507134057. The next prime is 2507134103. The reversal of 2507134080 is 804317052.

It is an interprime number because it is at equal distance from previous prime (2507134057) and next prime (2507134103).

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 (30).

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, 38235 + ... + 80474.

Almost surely, 22507134080 is an apocalyptic number.

2507134080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2507134080 is an abundant number, since it is smaller than the sum of its proper divisors (6210928320).

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

2507134080 is a wasteful number, since it uses less digits than its factorization.

2507134080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118742 (or 118730 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 2507134080 is about 50071.2899773912. The cubic root of 2507134080 is about 1358.4985737310.

The spelling of 2507134080 in words is "two billion, five hundred seven million, one hundred thirty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 264 320 330 352 384 440 480 528 640 660 704 880 960 1056 1320 1408 1760 1920 2112 2640 3520 4224 5280 7040 10560 21120 118709 237418 356127 474836 593545 712254 949672 1187090 1305799 1424508 1780635 1899344 2374180 2611598 2849016 3561270 3798688 3917397 4748360 5223196 5698032 6528995 7122540 7597376 7834794 9496720 10446392 11396064 13057990 14245080 15194752 15669588 18993440 19586985 20892784 22792128 26115980 28490160 31339176 37986880 39173970 41785568 45584256 52231960 56980320 62678352 75973760 78347940 83571136 104463920 113960640 125356704 156695880 167142272 208927840 227921280 250713408 313391760 417855680 501426816 626783520 835711360 1253567040 2507134080