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157402128 = 243133179103
BaseRepresentation
bin10010110000111…
…00010000010000
3101222011212010110
421120130100100
5310243332003
623341401320
73620616222
oct1130342020
9358155113
10157402128
1180938604
1244869240
13267c1170
1416c94412
15dc42a03
hex961c410

157402128 has 160 divisors (see below), whose sum is σ = 462192640. Its totient is φ = 45826560.

The previous prime is 157402123. The next prime is 157402129. The reversal of 157402128 is 821204751.

It is a junction number, because it is equal to n+sod(n) for n = 157402095 and 157402104.

It is not an unprimeable number, because it can be changed into a prime (157402121) 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, 1528125 + ... + 1528227.

It is an arithmetic number, because the mean of its divisors is an integer number (2888704).

Almost surely, 2157402128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157402128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231096320).

157402128 is an abundant number, since it is smaller than the sum of its proper divisors (304790512).

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

157402128 is a wasteful number, since it uses less digits than its factorization.

157402128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 157402128 is about 12546.0004782401. Note that the first 3 decimals coincide. The cubic root of 157402128 is about 539.9292637111.

Adding to 157402128 its reverse (821204751), we get a palindrome (978606879).

The spelling of 157402128 in words is "one hundred fifty-seven million, four hundred two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 39 48 52 62 78 79 93 103 104 124 156 158 186 206 208 237 248 309 312 316 372 403 412 474 496 618 624 632 744 806 824 948 1027 1209 1236 1264 1339 1488 1612 1648 1896 2054 2418 2449 2472 2678 3081 3193 3224 3792 4017 4108 4836 4898 4944 5356 6162 6386 6448 7347 8034 8137 8216 9579 9672 9796 10712 12324 12772 14694 16068 16274 16432 19158 19344 19592 21424 24411 24648 25544 29388 31837 32136 32548 38316 39184 41509 48822 49296 51088 58776 63674 64272 65096 76632 83018 95511 97644 105781 117552 124527 127348 130192 153264 166036 191022 195288 211562 249054 252247 254696 317343 332072 382044 390576 423124 498108 504494 509392 634686 664144 756741 764088 846248 996216 1008988 1269372 1513482 1528176 1692496 1992432 2017976 2538744 3026964 3279211 4035952 5077488 6053928 6558422 9837633 12107856 13116844 19675266 26233688 39350532 52467376 78701064 157402128