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2026154640 = 243523215959
BaseRepresentation
bin111100011000100…
…1010101010010000
312020012120022122110
41320301022222100
513122143422030
6533015305320
7101132013246
oct17061125220
95205508573
102026154640
1194a790a74
1248667b240
13263a03c93
14153146796
15bcd2c1b0
hex78c4aa90

2026154640 has 120 divisors (see below), whose sum is σ = 6566454720. Its totient is φ = 516783872.

The previous prime is 2026154621. The next prime is 2026154651. The reversal of 2026154640 is 464516202.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2026154598 and 2026154607.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118981 + ... + 134939.

It is an arithmetic number, because the mean of its divisors is an integer number (54720456).

Almost surely, 22026154640 is an apocalyptic number.

2026154640 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 2026154640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3283227360).

2026154640 is an abundant number, since it is smaller than the sum of its proper divisors (4540300080).

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

2026154640 is a wasteful number, since it uses less digits than its factorization.

2026154640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16021 (or 15992 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 2026154640 is about 45012.8275050568. The cubic root of 2026154640 is about 1265.3894117934.

The spelling of 2026154640 in words is "two billion, twenty-six million, one hundred fifty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 529 552 690 920 1058 1104 1380 1587 1840 2116 2645 2760 3174 4232 5290 5520 6348 7935 8464 10580 12696 15870 15959 21160 25392 31740 31918 42320 47877 63480 63836 79795 95754 126960 127672 159590 191508 239385 255344 319180 367057 383016 478770 638360 734114 766032 957540 1101171 1276720 1468228 1835285 1915080 2202342 2936456 3670570 3830160 4404684 5505855 5872912 7341140 8442311 8809368 11011710 14682280 16884622 17618736 22023420 25326933 29364560 33769244 42211555 44046840 50653866 67538488 84423110 88093680 101307732 126634665 135076976 168846220 202615464 253269330 337692440 405230928 506538660 675384880 1013077320 2026154640