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146000000 = 275673
BaseRepresentation
bin10001011001111…
…00100010000000
3101011201120100102
420230330202000
5244334000000
622253141532
73421656656
oct1054744200
9334646312
10146000000
117545aa63
1240a8a8a8
132432b343
1415566dd6
15cc3e3d5
hex8b3c880

146000000 has 112 divisors (see below), whose sum is σ = 368549970. Its totient is φ = 57600000.

The previous prime is 145999999. The next prime is 146000017. The reversal of 146000000 is 641.

It can be written as a sum of positive squares in 7 ways, for example, as 72863296 + 73136704 = 8536^2 + 8552^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1999964 + ... + 2000036.

Almost surely, 2146000000 is an apocalyptic number.

146000000 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 146000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184274985).

146000000 is an abundant number, since it is smaller than the sum of its proper divisors (222549970).

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

146000000 is an frugal number, since it uses more digits than its factorization.

146000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 146000000 is about 12083.0459735946. The cubic root of 146000000 is about 526.5637428171.

Adding to 146000000 its reverse (641), we get a palindrome (146000641).

The spelling of 146000000 in words is "one hundred forty-six million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 73 80 100 125 128 146 160 200 250 292 320 365 400 500 584 625 640 730 800 1000 1168 1250 1460 1600 1825 2000 2336 2500 2920 3125 3200 3650 4000 4672 5000 5840 6250 7300 8000 9125 9344 10000 11680 12500 14600 15625 16000 18250 20000 23360 25000 29200 31250 36500 40000 45625 46720 50000 58400 62500 73000 80000 91250 100000 116800 125000 146000 182500 200000 228125 233600 250000 292000 365000 400000 456250 500000 584000 730000 912500 1000000 1140625 1168000 1460000 1825000 2000000 2281250 2920000 3650000 4562500 5840000 7300000 9125000 14600000 18250000 29200000 36500000 73000000 146000000