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1572141340 = 2257111676113
BaseRepresentation
bin101110110110100…
…1111100100011100
311001120021001111001
41131231033210130
511204432010330
6420000240044
753646660310
oct13555174434
94046231431
101572141340
11737484070
1237a610024
131c0930663
1410cb21b40
15930499ca
hex5db4f91c

1572141340 has 96 divisors (see below), whose sum is σ = 4141476864. Its totient is φ = 487004160.

The previous prime is 1572141331. The next prime is 1572141353. The reversal of 1572141340 is 431412751.

It is a super-4 number, since 4×15721413404 (a number of 38 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 1572141299 and 1572141308.

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, 254124 + ... + 260236.

It is an arithmetic number, because the mean of its divisors is an integer number (43140384).

Almost surely, 21572141340 is an apocalyptic number.

1572141340 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 1572141340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2070738432).

1572141340 is an abundant number, since it is smaller than the sum of its proper divisors (2569335524).

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

1572141340 is a wasteful number, since it uses less digits than its factorization.

1572141340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6307 (or 6305 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 1572141340 is about 39650.2375781029. The cubic root of 1572141340 is about 1162.7790433541.

The spelling of 1572141340 in words is "one billion, five hundred seventy-two million, one hundred forty-one thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 167 220 308 334 385 668 770 835 1169 1540 1670 1837 2338 3340 3674 4676 5845 6113 7348 9185 11690 12226 12859 18370 23380 24452 25718 30565 36740 42791 51436 61130 64295 67243 85582 122260 128590 134486 171164 213955 257180 268972 336215 427910 470701 672430 855820 941402 1020871 1344860 1882804 2041742 2353505 4083484 4707010 5104355 7146097 9414020 10208710 11229581 14292194 20417420 22459162 28584388 35730485 44918324 56147905 71460970 78607067 112295810 142921940 157214134 224591620 314428268 393035335 786070670 1572141340