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146623428 = 22327311372
BaseRepresentation
bin10001011110101…
…00101111000100
3101012220020112100
420233110233010
5300013422203
622314352100
73430164360
oct1057245704
9335806470
10146623428
1175846396
124112b630
13244b9033
141568a2a0
15cd13ea3
hex8bd4bc4

146623428 has 108 divisors (see below), whose sum is σ = 440457472. Its totient is φ = 40245120.

The previous prime is 146623381. The next prime is 146623429. The reversal of 146623428 is 824326641.

146623428 is a `hidden beast` number, since 1 + 4 + 6 + 623 + 4 + 28 = 666.

146623428 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 = 146623392 and 146623401.

It is not an unprimeable number, because it can be changed into a prime (146623429) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1070176 + ... + 1070312.

Almost surely, 2146623428 is an apocalyptic number.

146623428 is a gapful number since it is divisible by the number (18) 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 146623428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220228736).

146623428 is an abundant number, since it is smaller than the sum of its proper divisors (293834044).

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

146623428 is a wasteful number, since it uses less digits than its factorization.

146623428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 180 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 146623428 is about 12108.8161271034. The cubic root of 146623428 is about 527.3121639044.

The spelling of 146623428 in words is "one hundred forty-six million, six hundred twenty-three thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 84 93 124 126 137 186 217 252 274 279 372 411 434 548 558 651 822 868 959 1116 1233 1302 1644 1918 1953 2466 2604 2877 3836 3906 4247 4932 5754 7812 8494 8631 11508 12741 16988 17262 18769 25482 29729 34524 37538 38223 50964 56307 59458 75076 76446 89187 112614 118916 131383 152892 168921 178374 225228 262766 267561 337842 356748 394149 525532 535122 581839 675684 788298 1070244 1163678 1182447 1576596 1745517 2327356 2364894 3491034 4072873 4729788 5236551 6982068 8145746 10473102 12218619 16291492 20946204 24437238 36655857 48874476 73311714 146623428