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158004420 = 223572223241
BaseRepresentation
bin10010110101011…
…11010011000100
3102000022110022120
421122233103010
5310422120140
623402325540
73626005200
oct1132572304
9360273276
10158004420
118120a072
1244ab98b0
1326972352
1416dadb00
15dd111d0
hex96af4c4

158004420 has 144 divisors (see below), whose sum is σ = 519095808. Its totient is φ = 35804160.

The previous prime is 158004389. The next prime is 158004421. The reversal of 158004420 is 24400851.

158004420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (158004421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 655500 + ... + 655740.

It is an arithmetic number, because the mean of its divisors is an integer number (3604832).

Almost surely, 2158004420 is an apocalyptic number.

158004420 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 158004420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259547904).

158004420 is an abundant number, since it is smaller than the sum of its proper divisors (361091388).

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

158004420 is a wasteful number, since it uses less digits than its factorization.

158004420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 158004420 is about 12569.9809069067. The cubic root of 158004420 is about 540.6170586781.

The spelling of 158004420 in words is "one hundred fifty-eight million, four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 223 241 245 294 420 446 482 490 588 669 723 735 892 964 980 1115 1205 1338 1446 1470 1561 1687 2230 2410 2676 2892 2940 3122 3345 3374 3615 4460 4683 4820 5061 6244 6690 6748 7230 7805 8435 9366 10122 10927 11809 13380 14460 15610 16870 18732 20244 21854 23415 23618 25305 31220 32781 33740 35427 43708 46830 47236 50610 53743 54635 59045 65562 70854 93660 101220 107486 109270 118090 131124 141708 161229 163905 177135 214972 218540 236180 268715 322458 327810 354270 376201 537430 644916 655620 708540 752402 806145 1074860 1128603 1504804 1612290 1881005 2257206 2633407 3224580 3762010 4514412 5266814 5643015 7524020 7900221 10533628 11286030 13167035 15800442 22572060 26334070 31600884 39501105 52668140 79002210 158004420