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253157940 = 22335766973
BaseRepresentation
bin11110001011011…
…10001000110100
3122122100202102000
433011232020310
51004302023230
641042015300
76162543540
oct1705561064
9578322360
10253157940
1111a9a0342
1270947530
13405a9bc9
142589ca20
1517359b60
hexf16e234

253157940 has 96 divisors (see below), whose sum is σ = 900130560. Its totient is φ = 57863808.

The previous prime is 253157939. The next prime is 253157951. The reversal of 253157940 is 49751352.

253157940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 253157895 and 253157904.

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, 29707 + ... + 37266.

It is an arithmetic number, because the mean of its divisors is an integer number (9376360).

Almost surely, 2253157940 is an apocalyptic number.

253157940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253157940 is an abundant number, since it is smaller than the sum of its proper divisors (646972620).

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

253157940 is a wasteful number, since it uses less digits than its factorization.

253157940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66998 (or 66990 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 253157940 is about 15910.9377473485. The cubic root of 253157940 is about 632.6019374622.

The spelling of 253157940 in words is "two hundred fifty-three million, one hundred fifty-seven thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1890 3780 66973 133946 200919 267892 334865 401838 468811 602757 669730 803676 937622 1004595 1205514 1339460 1406433 1808271 1875244 2009190 2344055 2411028 2812866 3013785 3616542 4018380 4219299 4688110 5625732 6027570 7032165 7233084 8438598 9041355 9376220 12055140 12657897 14064330 16877196 18082710 21096495 25315794 28128660 36165420 42192990 50631588 63289485 84385980 126578970 253157940