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2146497920 = 2757268447
BaseRepresentation
bin111111111110000…
…1111010110000000
312112121000101120222
41333330033112000
513344000413140
6552554522212
7104122634300
oct17774172600
95477011528
102146497920
11a01707726
124baa36368
1328291b218
14165111600
15c869e5b5
hex7ff0f580

2146497920 has 96 divisors (see below), whose sum is σ = 5969350080. Its totient is φ = 735931392.

The previous prime is 2146497889. The next prime is 2146497923. The reversal of 2146497920 is 297946412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2146497923) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2864 + ... + 65583.

It is an arithmetic number, because the mean of its divisors is an integer number (62180730).

Almost surely, 22146497920 is an apocalyptic number.

2146497920 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 2146497920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2984675040).

2146497920 is an abundant number, since it is smaller than the sum of its proper divisors (3822852160).

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

2146497920 is an equidigital number, since it uses as much as digits as its factorization.

2146497920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68480 (or 68461 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 44.

The square root of 2146497920 is about 46330.3131869406. The cubic root of 2146497920 is about 1289.9617239209.

The spelling of 2146497920 in words is "two billion, one hundred forty-six million, four hundred ninety-seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 196 224 245 280 320 392 448 490 560 640 784 896 980 1120 1568 1960 2240 3136 3920 4480 6272 7840 15680 31360 68447 136894 273788 342235 479129 547576 684470 958258 1095152 1368940 1916516 2190304 2395645 2737880 3353903 3833032 4380608 4791290 5475760 6707806 7666064 8761216 9582580 10951520 13415612 15332128 16769515 19165160 21903040 26831224 30664256 33539030 38330320 43806080 53662448 61328512 67078060 76660640 107324896 134156120 153321280 214649792 268312240 306642560 429299584 536624480 1073248960 2146497920