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114951480 = 23357281487
BaseRepresentation
bin1101101101000…
…00010100111000
322000022010210020
412312200110320
5213411421410
615223450440
72564033340
oct666402470
9260263706
10114951480
1159983826
12325b6a20
131aa7a037
14113a3d20
15a159a70
hex6da0538

114951480 has 128 divisors (see below), whose sum is σ = 396334080. Its totient is φ = 26127360.

The previous prime is 114951479. The next prime is 114951497. The reversal of 114951480 is 84159411.

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, 235797 + ... + 236283.

It is an arithmetic number, because the mean of its divisors is an integer number (3096360).

Almost surely, 2114951480 is an apocalyptic number.

114951480 is a gapful number since it is divisible by the number (10) 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 114951480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198167040).

114951480 is an abundant number, since it is smaller than the sum of its proper divisors (281382600).

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

114951480 is a wasteful number, since it uses less digits than its factorization.

114951480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 114951480 is about 10721.5427994296. The cubic root of 114951480 is about 486.2260121702.

The spelling of 114951480 in words is "one hundred fourteen million, nine hundred fifty-one thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 281 420 487 562 840 843 974 1124 1405 1461 1686 1948 1967 2248 2435 2810 2922 3372 3409 3896 3934 4215 4870 5620 5844 5901 6744 6818 7305 7868 8430 9740 9835 10227 11240 11688 11802 13636 14610 15736 16860 17045 19480 19670 20454 23604 27272 29220 29505 33720 34090 39340 40908 47208 51135 58440 59010 68180 78680 81816 102270 118020 136360 136847 204540 236040 273694 409080 410541 547388 684235 821082 957929 1094776 1368470 1642164 1915858 2052705 2736940 2873787 3284328 3831716 4105410 4789645 5473880 5747574 7663432 8210820 9579290 11495148 14368935 16421640 19158580 22990296 28737870 38317160 57475740 114951480