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149868940 = 225131741827
BaseRepresentation
bin10001110111011…
…01000110001100
3101110000010112111
420323231012030
5301331301230
622512113404
73466602454
oct1073550614
9343003474
10149868940
1177662831
1242235864
1325084360
1415c92d64
15d25592a
hex8eed18c

149868940 has 96 divisors (see below), whose sum is σ = 368069184. Its totient is φ = 50749440.

The previous prime is 149868931. The next prime is 149868949. The reversal of 149868940 is 49868941.

149868940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (149868931) and next prime (149868949).

It is not an unprimeable number, because it can be changed into a prime (149868949) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180807 + ... + 181633.

It is an arithmetic number, because the mean of its divisors is an integer number (3834054).

Almost surely, 2149868940 is an apocalyptic number.

149868940 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 149868940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184034592).

149868940 is an abundant number, since it is smaller than the sum of its proper divisors (218200244).

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

149868940 is a wasteful number, since it uses less digits than its factorization.

149868940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 49.

The square root of 149868940 is about 12242.0970425822. The cubic root of 149868940 is about 531.1744927980.

Subtracting from 149868940 its reverse (49868941), we obtain a palindrome (99999999).

The spelling of 149868940 in words is "one hundred forty-nine million, eight hundred sixty-eight thousand, nine hundred forty".

Divisors: 1 2 4 5 10 13 17 20 26 34 41 52 65 68 82 85 130 164 170 205 221 260 340 410 442 533 697 820 827 884 1066 1105 1394 1654 2132 2210 2665 2788 3308 3485 4135 4420 5330 6970 8270 9061 10660 10751 13940 14059 16540 18122 21502 28118 33907 36244 43004 45305 53755 56236 67814 70295 90610 107510 135628 140590 169535 181220 182767 215020 281180 339070 365534 440791 576419 678140 731068 881582 913835 1152838 1763164 1827670 2203955 2305676 2882095 3655340 4407910 5764190 7493447 8815820 11528380 14986894 29973788 37467235 74934470 149868940