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1051742640 = 243513337097
BaseRepresentation
bin111110101100000…
…101000110110000
32201022001001200010
4332230011012300
54123221231030
6252210254520
735030444034
oct7654050660
92638031603
101051742640
1149a7548a3
12254287440
13139b85830
149d97a1c4
15625026b0
hex3eb051b0

1051742640 has 80 divisors (see below), whose sum is σ = 3511212768. Its totient is φ = 258889728.

The previous prime is 1051742581. The next prime is 1051742651. The reversal of 1051742640 is 462471501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10517426402 = 2212325161588339200, which contains 22 as substring.

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 = 1051742598 and 1051742607.

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, 165429 + ... + 171668.

Almost surely, 21051742640 is an apocalyptic number.

1051742640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1051742640 is an abundant number, since it is smaller than the sum of its proper divisors (2459470128).

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

1051742640 is a wasteful number, since it uses less digits than its factorization.

1051742640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337126 (or 337120 counting only the distinct ones).

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

The square root of 1051742640 is about 32430.5818634202. The cubic root of 1051742640 is about 1016.9583358564.

The spelling of 1051742640 in words is "one billion, fifty-one million, seven hundred forty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 337097 674194 1011291 1348388 1685485 2022582 2696776 3370970 4045164 4382261 5056455 5393552 6741940 8090328 8764522 10112910 13146783 13483880 16180656 17529044 20225820 21911305 26293566 26967760 35058088 40451640 43822610 52587132 65733915 70116176 80903280 87645220 105174264 131467830 175290440 210348528 262935660 350580880 525871320 1051742640